id	sid	eid	entity	type
ejpam-5478	1	1	european journal	ORG
ejpam-5478	1	2	2025	DATE
ejpam-5478	1	3	18	CARDINAL
ejpam-5478	1	4	1	CARDINAL
ejpam-5478	1	5	5478	CARDINAL
ejpam-5478	1	6	1307-5543	DATE
ejpam-5478	1	7	new york	GPE
ejpam-5478	1	8	m. alawaideh1,∗	PERSON
ejpam-5478	1	9	ramazanova2	PERSON
ejpam-5478	1	10	hayat issaadi3	PERSON
ejpam-5478	1	11	bashar	GPE
ejpam-5478	2	1	m. al-khamiseh1	PERSON
ejpam-5478	2	2	bilal4	DATE
ejpam-5478	2	3	baleanu5 1 meu	PRODUCT
ejpam-5478	2	4	middle east university	ORG
ejpam-5478	2	5	amman	GPE
ejpam-5478	2	6	jordan 2 university	ORG
ejpam-5478	2	7	3	CARDINAL
ejpam-5478	2	8	32	CARDINAL
ejpam-5478	2	9	bab-ezzouar	ORG
ejpam-5478	2	10	16111	DATE
ejpam-5478	2	11	algeria 4	ORG
ejpam-5478	2	12	department of physics	ORG
ejpam-5478	2	13	shanghai university	ORG
ejpam-5478	2	14	200444	DATE
ejpam-5478	2	15	china 5	ORG
ejpam-5478	2	16	department of computer science	ORG
ejpam-5478	2	17	lebanese	NORP
ejpam-5478	2	18	american university	ORG
ejpam-5478	2	19	beirut	GPE
ejpam-5478	2	20	lebanon	GPE
ejpam-5478	4	1	euler	PERSON
ejpam-5478	7	1	hamilton	PERSON
ejpam-5478	7	2	one	CARDINAL
ejpam-5478	8	1	2020	DATE
ejpam-5478	8	2	37j05, 70h20	DATE
ejpam-5478	8	3	49s05	DATE
ejpam-5478	8	4	26a33	CARDINAL
ejpam-5478	8	5	70g45	CARDINAL
ejpam-5478	8	6	euler-lagrange	PERSON
ejpam-5478	8	7	lagrange	GPE
ejpam-5478	8	8	1	CARDINAL
ejpam-5478	10	1	6	CARDINAL
ejpam-5478	10	2	20	CARDINAL
ejpam-5478	11	1	19	CARDINAL
ejpam-5478	11	2	23	CARDINAL
ejpam-5478	11	3	25	CARDINAL
ejpam-5478	12	1	1	CARDINAL
ejpam-5478	12	2	2	CARDINAL
ejpam-5478	12	3	8	CARDINAL
ejpam-5478	12	4	9	CARDINAL
ejpam-5478	12	5	17	CARDINAL
ejpam-5478	13	1	∗corresponding	PERSON
ejpam-5478	14	1	m. alawaideh	PERSON
ejpam-5478	15	1	1	CARDINAL
ejpam-5478	15	2	2025	CARDINAL
ejpam-5478	16	1	m. alawaideh et	PERSON
ejpam-5478	17	1	j. pure	PERSON
ejpam-5478	17	2	18	CARDINAL
ejpam-5478	17	3	1	CARDINAL
ejpam-5478	17	4	2025	CARDINAL
ejpam-5478	17	5	2	CARDINAL
ejpam-5478	17	6	14	CARDINAL
ejpam-5478	17	7	16	CARDINAL
ejpam-5478	17	8	4	CARDINAL
ejpam-5478	18	1	22	CARDINAL
ejpam-5478	18	2	5	CARDINAL
ejpam-5478	18	3	7	CARDINAL
ejpam-5478	19	1	3	CARDINAL
ejpam-5478	19	2	hamilton	PERSON
ejpam-5478	19	3	10	CARDINAL
ejpam-5478	20	1	riemann-liouville	ORG
ejpam-5478	20	2	12	CARDINAL
ejpam-5478	21	1	hamilton	PERSON
ejpam-5478	21	2	13	CARDINAL
ejpam-5478	21	3	15	DATE
ejpam-5478	21	4	24	DATE
ejpam-5478	21	5	29	CARDINAL
ejpam-5478	22	1	riemann-liouville	ORG
ejpam-5478	23	1	18	CARDINAL
ejpam-5478	34	1	section 2	LAW
ejpam-5478	35	1	section 3	LAW
ejpam-5478	35	2	generalized ostrogradsky’s	PERSON
ejpam-5478	36	1	section 4	LAW
ejpam-5478	36	2	section 5	LAW
ejpam-5478	38	1	y. m. alawaideh et al	PERSON
ejpam-5478	39	1	j. pure	PERSON
ejpam-5478	39	2	18	CARDINAL
ejpam-5478	39	3	1	CARDINAL
ejpam-5478	39	4	2025	CARDINAL
ejpam-5478	39	5	5478 3	DATE
ejpam-5478	39	6	14 2	CARDINAL
ejpam-5478	39	7	two	CARDINAL
ejpam-5478	40	1	1/2	CARDINAL
ejpam-5478	40	2	1	CARDINAL
ejpam-5478	40	3	3/2	CARDINAL
ejpam-5478	40	4	2	CARDINAL
ejpam-5478	42	1	11	CARDINAL
ejpam-5478	42	2	18	CARDINAL
ejpam-5478	44	1	11	CARDINAL
ejpam-5478	44	2	18	CARDINAL
ejpam-5478	45	1	ϵ→∞	CARDINAL
ejpam-5478	45	2	ϵ(t−	DATE
ejpam-5478	46	1	11	CARDINAL
ejpam-5478	46	2	18	CARDINAL
ejpam-5478	48	1	− lim ϵ→∞	PERSON
ejpam-5478	52	1	0	CARDINAL
ejpam-5478	54	1	ϵ→∞	CARDINAL
ejpam-5478	55	1	30	CARDINAL
ejpam-5478	55	2	m. alawaideh et	PERSON
ejpam-5478	56	1	j. pure	PERSON
ejpam-5478	56	2	18	CARDINAL
ejpam-5478	56	3	1	CARDINAL
ejpam-5478	56	4	2025	CARDINAL
ejpam-5478	56	5	4	CARDINAL
ejpam-5478	56	6	14	CARDINAL
ejpam-5478	59	1	2	CARDINAL
ejpam-5478	60	1	3	CARDINAL
ejpam-5478	60	2	generalized ostrogradsky’s	PERSON
ejpam-5478	60	3	lagrangian	ORG
ejpam-5478	60	4	hamiltonian	NORP
ejpam-5478	61	1	euler	PERSON
ejpam-5478	61	2	14	CARDINAL
ejpam-5478	61	3	28	CARDINAL
ejpam-5478	62	1	n	ORG
ejpam-5478	62	2	d2α s|tq(t	GPE
ejpam-5478	63	1	euler	PERSON
ejpam-5478	69	1	0	CARDINAL
ejpam-5478	75	1	∂qi ∂qi	PERSON
ejpam-5478	76	1	∂dα	LOC
ejpam-5478	82	1	∂qi η +	PERSON
ejpam-5478	83	1	0	CARDINAL
ejpam-5478	85	1	∂qi	GPE
ejpam-5478	85	2	∂dα	PERSON
ejpam-5478	87	1	euler	PERSON
ejpam-5478	88	1	∂qi	PERSON
ejpam-5478	88	2	∂dα	PERSON
ejpam-5478	90	1	1	CARDINAL
ejpam-5478	90	2	m. alawaideh et	PERSON
ejpam-5478	91	1	j. pure	PERSON
ejpam-5478	91	2	18	CARDINAL
ejpam-5478	91	3	1	CARDINAL
ejpam-5478	91	4	2025	CARDINAL
ejpam-5478	91	5	5478 5	DATE
ejpam-5478	91	6	first	ORDINAL
ejpam-5478	91	7	∂p1 dp1	PERSON
ejpam-5478	91	8	∂p1 ,	WORK_OF_ART
ejpam-5478	91	9	• second	TIME
ejpam-5478	91	10	∂p2	ORG
ejpam-5478	91	11	• third	CARDINAL
ejpam-5478	91	12	s|tp1+d2α	NORP
ejpam-5478	91	13	4	CARDINAL
ejpam-5478	92	1	∂qi	PERSON
ejpam-5478	93	1	•	CARDINAL
ejpam-5478	93	2	fourth	ORDINAL
ejpam-5478	94	1	2α	CARDINAL
ejpam-5478	94	2	3α	CARDINAL
ejpam-5478	94	3	2α	CARDINAL
ejpam-5478	94	4	3α	CARDINAL
ejpam-5478	94	5	euler	PERSON
ejpam-5478	94	6	lagrange	GPE
ejpam-5478	94	7	n∑ i=0	PERSON
ejpam-5478	94	8	−1)idiα	ORG
ejpam-5478	96	1	1	CARDINAL
ejpam-5478	96	2	2	DATE
ejpam-5478	96	3	3	DATE
ejpam-5478	98	1	1	CARDINAL
ejpam-5478	98	2	2	DATE
ejpam-5478	98	3	3	DATE
ejpam-5478	102	1	∂qi	PERSON
ejpam-5478	102	2	qi = diα t	PERSON
ejpam-5478	102	3	1	CARDINAL
ejpam-5478	102	4	2	DATE
ejpam-5478	102	5	3	DATE
ejpam-5478	102	6	2	CARDINAL
ejpam-5478	102	7	m. alawaideh et	PERSON
ejpam-5478	103	1	j. pure	PERSON
ejpam-5478	103	2	18	CARDINAL
ejpam-5478	103	3	1	CARDINAL
ejpam-5478	103	4	2025	CARDINAL
ejpam-5478	103	5	6	CARDINAL
ejpam-5478	105	1	3	CARDINAL
ejpam-5478	105	2	3	CARDINAL
ejpam-5478	109	1	4	CARDINAL
ejpam-5478	109	2	euler	PERSON
ejpam-5478	109	3	1	CARDINAL
ejpam-5478	114	1	1	CARDINAL
ejpam-5478	114	2	2	DATE
ejpam-5478	114	3	3	DATE
ejpam-5478	114	4	n.	PERSON
ejpam-5478	114	5	5	CARDINAL
ejpam-5478	114	6	5	CARDINAL
ejpam-5478	114	7	4	CARDINAL
ejpam-5478	117	1	s|tldt	LANGUAGE
ejpam-5478	118	1	6	CARDINAL
ejpam-5478	119	1	1	CARDINAL
ejpam-5478	119	2	2	DATE
ejpam-5478	119	3	3	DATE
ejpam-5478	125	1	7	CARDINAL
ejpam-5478	125	2	6	CARDINAL
ejpam-5478	125	3	7	CARDINAL
ejpam-5478	125	4	hamilton	PERSON
ejpam-5478	127	1	−1)ipi	GPE
ejpam-5478	129	1	two	CARDINAL
ejpam-5478	131	1	dpdqei ∑n k=1(pkq k−h(q	PERSON
ejpam-5478	131	2	qk	PERSON
ejpam-5478	131	3	qk	ORG
ejpam-5478	131	4	m. alawaideh et	PERSON
ejpam-5478	132	1	j. pure	PERSON
ejpam-5478	132	2	18	CARDINAL
ejpam-5478	132	3	1	CARDINAL
ejpam-5478	132	4	2025	CARDINAL
ejpam-5478	132	5	5478 7	DATE
ejpam-5478	132	6	14	CARDINAL
ejpam-5478	134	1	4	CARDINAL
ejpam-5478	134	2	generalized conformable fractional	ORG
ejpam-5478	136	1	euler-lagrange	ORG
ejpam-5478	136	2	26	CARDINAL
ejpam-5478	137	1	one	CARDINAL
ejpam-5478	141	1	∂dα	PERSON
ejpam-5478	141	2	δd2α	GPE
ejpam-5478	141	3	∂d2α	GPE
ejpam-5478	144	1	∂dα	PERSON
ejpam-5478	144	2	∂d2α	ORG
ejpam-5478	145	1	∂dα	PERSON
ejpam-5478	145	2	∂d2α	GPE
ejpam-5478	147	1	∂d2α	ORG
ejpam-5478	148	1	∂qi	PERSON
ejpam-5478	149	1	∂d2α	GPE
ejpam-5478	150	1	euler	PERSON
ejpam-5478	150	2	1	CARDINAL
ejpam-5478	153	1	diα s|t	PERSON
ejpam-5478	154	1	∂dα	PERSON
ejpam-5478	154	2	∂d2α	GPE
ejpam-5478	157	1	∂dα	PERSON
ejpam-5478	160	1	m. alawaideh et	PERSON
ejpam-5478	161	1	j. pure	PERSON
ejpam-5478	161	2	18	CARDINAL
ejpam-5478	161	3	1	CARDINAL
ejpam-5478	161	4	2025	CARDINAL
ejpam-5478	161	5	5478 8	DATE
ejpam-5478	161	6	14	CARDINAL
ejpam-5478	162	1	∂dα s|tqi	PERSON
ejpam-5478	163	1	∂d2α s|tqi −dα	ORG
ejpam-5478	164	1	∂dα	PERSON
ejpam-5478	166	1	∂d2α	ORG
ejpam-5478	166	2	11	CARDINAL
ejpam-5478	167	1	∂qi	PERSON
ejpam-5478	168	1	∂d2α s|tqi − l example 1	ORG
ejpam-5478	170	1	22	CARDINAL
ejpam-5478	170	2	1 2	CARDINAL
ejpam-5478	170	3	x)2	GPE
ejpam-5478	170	4	1 2	DATE
ejpam-5478	170	5	2	CARDINAL
ejpam-5478	170	6	euler	PERSON
ejpam-5478	170	7	1	CARDINAL
ejpam-5478	170	8	3 2	CARDINAL
ejpam-5478	170	9	2	CARDINAL
ejpam-5478	171	1	2	CARDINAL
ejpam-5478	171	2	1 qi)q	DATE
ejpam-5478	171	3	3	CARDINAL
ejpam-5478	172	1	1 qi	QUANTITY
ejpam-5478	173	1	4	CARDINAL
ejpam-5478	173	2	0	CARDINAL
ejpam-5478	174	1	9	CARDINAL
ejpam-5478	174	2	∂dα	NORP
ejpam-5478	175	1	∂d2α	ORG
ejpam-5478	178	1	2bx	ORDINAL
ejpam-5478	179	1	2ax	ORG
ejpam-5478	179	2	10	CARDINAL
ejpam-5478	179	3	hamilton	PERSON
ejpam-5478	182	1	y. m. alawaideh et al	PERSON
ejpam-5478	183	1	j. pure	PERSON
ejpam-5478	183	2	18	CARDINAL
ejpam-5478	183	3	1	CARDINAL
ejpam-5478	183	4	2025	CARDINAL
ejpam-5478	183	5	5478 9	DATE
ejpam-5478	183	6	14	CARDINAL
ejpam-5478	186	1	3 2	CARDINAL
ejpam-5478	186	2	a(d2α s|tqi	PERSON
ejpam-5478	186	3	2	CARDINAL
ejpam-5478	187	1	2α	CARDINAL
ejpam-5478	187	2	s|tqi	GPE
ejpam-5478	187	3	3	CARDINAL
ejpam-5478	187	4	2	CARDINAL
ejpam-5478	188	1	4	CARDINAL
ejpam-5478	188	2	11	CARDINAL
ejpam-5478	188	3	9	CARDINAL
ejpam-5478	189	1	1	CARDINAL
ejpam-5478	189	2	3 2	CARDINAL
ejpam-5478	189	3	2	CARDINAL
ejpam-5478	190	1	2	CARDINAL
ejpam-5478	190	2	3	CARDINAL
ejpam-5478	191	1	2	CARDINAL
ejpam-5478	192	1	4	CARDINAL
ejpam-5478	192	2	12	CARDINAL
ejpam-5478	192	3	29	CARDINAL
ejpam-5478	193	1	3 2	QUANTITY
ejpam-5478	193	2	2 + bqiq̈l	QUANTITY
ejpam-5478	193	3	+ 2a(q̇l)q	DATE
ejpam-5478	194	1	2	CARDINAL
ejpam-5478	195	1	4	CARDINAL
ejpam-5478	195	2	13	CARDINAL
ejpam-5478	195	3	13	CARDINAL
ejpam-5478	196	1	27	CARDINAL
ejpam-5478	197	1	k = ∫ dqe i(	ORG
ejpam-5478	197	2	1 2	CARDINAL
ejpam-5478	197	3	ax(d2α s|tx	NORP
ejpam-5478	197	4	2− 1	DATE
ejpam-5478	197	5	2)dt	CARDINAL
ejpam-5478	197	6	14	CARDINAL
ejpam-5478	197	7	14	CARDINAL
ejpam-5478	198	1	5	CARDINAL
ejpam-5478	199	1	hamiltonian	NORP
ejpam-5478	206	1	y. m. alawaideh et al	PERSON
ejpam-5478	207	1	j. pure	PERSON
ejpam-5478	207	2	18	CARDINAL
ejpam-5478	207	3	1	CARDINAL
ejpam-5478	207	4	2025	CARDINAL
ejpam-5478	207	5	5478 10	DATE
ejpam-5478	208	1	two	CARDINAL
ejpam-5478	208	2	euler	PERSON
ejpam-5478	216	1	1	CARDINAL
ejpam-5478	216	2	j gregory	PERSON
ejpam-5478	218	1	1997	DATE
ejpam-5478	219	1	2	CARDINAL
ejpam-5478	219	2	al-masaeed	PERSON
ejpam-5478	219	3	al-jamel	PERSON
ejpam-5478	221	1	45(5):2910–2920	CARDINAL
ejpam-5478	221	2	2021	DATE
ejpam-5478	222	1	3	CARDINAL
ejpam-5478	222	2	al-khamiseh	PERSON
ejpam-5478	222	3	w al-awaida	PERSON
ejpam-5478	224	1	mesa	ORG
ejpam-5478	224	2	13:497–509	CARDINAL
ejpam-5478	224	3	2022	CARDINAL
ejpam-5478	225	1	4	CARDINAL
ejpam-5478	225	2	j khalifeh	PERSON
ejpam-5478	225	3	r hijjawi	PERSON
ejpam-5478	227	1	jordanian journal of physics	ORG
ejpam-5478	227	2	2020	DATE
ejpam-5478	228	1	5	CARDINAL
ejpam-5478	228	2	j. khalifeh	PERSON
ejpam-5478	228	3	r. hijjawi	PERSON
ejpam-5478	229	1	hamiltonian	NORP
ejpam-5478	229	2	third	ORDINAL
ejpam-5478	230	1	jordanian journal of physics	ORG
ejpam-5478	230	2	14:35–47	DATE
ejpam-5478	230	3	2021	CARDINAL
ejpam-5478	231	1	6	CARDINAL
ejpam-5478	231	2	al-khamiseh	PERSON
ejpam-5478	232	1	second	ORDINAL
ejpam-5478	232	2	riemann-liouville	ORG
ejpam-5478	233	1	econometrica	ORG
ejpam-5478	233	2	97:125210	CARDINAL
ejpam-5478	233	3	2022	CARDINAL
ejpam-5478	234	1	s lotayif	PERSON
ejpam-5478	235	1	riemann-liouville	ORG
ejpam-5478	236	1	2121:21	CARDINAL
ejpam-5478	236	2	2022	CARDINAL
ejpam-5478	237	1	8	CARDINAL
ejpam-5478	237	2	bashar	GPE
ejpam-5478	237	3	al-khamiseh	PERSON
ejpam-5478	237	4	mohammad kanan	PERSON
ejpam-5478	237	5	fekadu tesgera agama	ORG
ejpam-5478	238	1	m. alawaideh et	PERSON
ejpam-5478	239	1	j. pure	PERSON
ejpam-5478	239	2	18	CARDINAL
ejpam-5478	239	3	1	CARDINAL
ejpam-5478	239	4	2025	CARDINAL
ejpam-5478	239	5	5478 11	DATE
ejpam-5478	239	6	14	CARDINAL
ejpam-5478	239	7	hamilton-jacobi	PERSON
ejpam-5478	240	1	9(2):211–221	CARDINAL
ejpam-5478	240	2	2023	CARDINAL
ejpam-5478	241	1	211–221	CARDINAL
ejpam-5478	243	1	9	CARDINAL
ejpam-5478	243	2	bashar alkhamiseh	PERSON
ejpam-5478	243	3	yazen alawaideh	PERSON
ejpam-5478	245	1	jordan journal of physics	ORG
ejpam-5478	245	2	16(3):299–304, 1998.	DATE
ejpam-5478	246	1	04	CARDINAL
ejpam-5478	248	1	10	CARDINAL
ejpam-5478	248	2	al-khamiseh	PERSON
ejpam-5478	249	1	generalized maxwell	ORG
ejpam-5478	250	1	11	CARDINAL
ejpam-5478	252	1	12(2	DATE
ejpam-5478	252	2	2024	DATE
ejpam-5478	253	1	12	CARDINAL
ejpam-5478	255	1	15:583–597	CARDINAL
ejpam-5478	255	2	2009	DATE
ejpam-5478	256	1	13	CARDINAL
ejpam-5478	256	2	k taş. fractional hamiltonian	ORG
ejpam-5478	257	1	2006	DATE
ejpam-5478	258	1	14	CARDINAL
ejpam-5478	258	2	j dalibard	PERSON
ejpam-5478	259	1	lagrangian	ORG
ejpam-5478	259	2	hamiltonian	NORP
ejpam-5478	260	1	quantum	ORG
ejpam-5478	260	2	293–308	CARDINAL
ejpam-5478	260	3	2002	DATE
ejpam-5478	261	1	15	CARDINAL
ejpam-5478	264	1	2009	DATE
ejpam-5478	265	1	16	CARDINAL
ejpam-5478	265	2	o k kwon	PERSON
ejpam-5478	266	1	generalized lee-wick	PERSON
ejpam-5478	267	1	d82:025013	GPE
ejpam-5478	267	2	2010	DATE
ejpam-5478	268	1	17	CARDINAL
ejpam-5478	269	1	hamilton	PERSON
ejpam-5478	269	2	second	ORDINAL
ejpam-5478	270	1	47:2195–2202	CARDINAL
ejpam-5478	270	2	2008	DATE
ejpam-5478	271	1	18	CARDINAL
ejpam-5478	271	2	al horani	PERSON
ejpam-5478	271	3	yousef	PERSON
ejpam-5478	271	4	j sababheh	PERSON
ejpam-5478	274	1	264:6570, 2014	DATE
ejpam-5478	275	1	19	CARDINAL
ejpam-5478	277	1	czechoslovak journal of physics	ORG
ejpam-5478	277	2	51:1348–1354, 2001	DATE
ejpam-5478	278	1	20	CARDINAL
ejpam-5478	280	1	14:3492–3497, 1989	DATE
ejpam-5478	281	1	21	CARDINAL
ejpam-5478	283	1	56:572–580	CARDINAL
ejpam-5478	283	2	2020	DATE
ejpam-5478	284	1	22	CARDINAL
ejpam-5478	286	1	47:3150–3158	CARDINAL
ejpam-5478	286	2	2007	DATE
ejpam-5478	287	1	23	CARDINAL
ejpam-5478	289	1	23	CARDINAL
ejpam-5478	289	2	l697s	LANGUAGE
ejpam-5478	289	3	1990	DATE
ejpam-5478	290	1	24	CARDINAL
ejpam-5478	291	1	hamiltonian	NORP
ejpam-5478	292	1	m. alawaideh et	PERSON
ejpam-5478	293	1	j. pure	PERSON
ejpam-5478	293	2	18	CARDINAL
ejpam-5478	293	3	1	CARDINAL
ejpam-5478	293	4	2025	CARDINAL
ejpam-5478	293	5	5478 12	DATE
ejpam-5478	293	6	14	CARDINAL
ejpam-5478	293	7	, 1996	DATE
ejpam-5478	294	1	25	CARDINAL
ejpam-5478	295	1	nonconservativelagrangian	NORP
ejpam-5478	295	2	hamiltonian	NORP
ejpam-5478	296	1	53:1890	CARDINAL
ejpam-5478	296	2	1996	DATE
ejpam-5478	297	1	26	CARDINAL
ejpam-5478	298	1	newton	GPE
ejpam-5478	299	1	jour la	PRODUCT
ejpam-5478	299	2	2015	DATE
ejpam-5478	300	1	27	CARDINAL
ejpam-5478	301	1	newton	GPE
ejpam-5478	302	1	jour la	PRODUCT
ejpam-5478	302	2	2015	DATE
ejpam-5478	303	1	28	CARDINAL
ejpam-5478	303	2	malham simon	PERSON
ejpam-5478	304	1	hamiltonian	NORP
ejpam-5478	305	1	maxwell institute	ORG
ejpam-5478	305	2	edinburgh	GPE
ejpam-5478	305	3	eh14 4as	PRODUCT
ejpam-5478	305	4	uk	GPE
ejpam-5478	305	5	2014	DATE
ejpam-5478	306	1	29	CARDINAL
ejpam-5478	307	1	hamilton	PERSON
ejpam-5478	309	1	1981	DATE
ejpam-5478	310	1	30	CARDINAL
ejpam-5478	310	2	abdeljawad t.	PERSON
ejpam-5478	311	1	2014	DATE
ejpam-5478	312	1	31	CARDINAL
ejpam-5478	312	2	g m zaslavsky.	PERSON
ejpam-5478	314	1	371:461–580	GPE
ejpam-5478	314	2	2002	DATE
ejpam-5478	315	1	lagrangian	ORG
ejpam-5478	315	2	hamiltonian	NORP
ejpam-5478	315	3	φ	ORG
ejpam-5478	317	1	∂dα s|tqi +	PERSON
ejpam-5478	317	2	∂(d2α s|tqi	GPE
ejpam-5478	317	3	ql	NORP
ejpam-5478	317	4	ql	NORP
ejpam-5478	318	1	2α	CARDINAL
ejpam-5478	318	2	l	ORDINAL
ejpam-5478	318	3	l = l(qi	ORG
ejpam-5478	318	4	s|tqi	GPE
ejpam-5478	318	5	2α	CARDINAL
ejpam-5478	319	1	m. alawaideh et	PERSON
ejpam-5478	320	1	j. pure	PERSON
ejpam-5478	320	2	18	CARDINAL
ejpam-5478	320	3	1	CARDINAL
ejpam-5478	320	4	2025	CARDINAL
ejpam-5478	320	5	5478 13	DATE
ejpam-5478	320	6	14	CARDINAL
ejpam-5478	320	7	euler	PERSON
ejpam-5478	320	8	lagrange	GPE
ejpam-5478	320	9	n∑ i=0	PERSON
ejpam-5478	320	10	−1)idiα	ORG
ejpam-5478	320	11	0	CARDINAL
ejpam-5478	320	12	1	DATE
ejpam-5478	320	13	2	DATE
ejpam-5478	320	14	pk−1	ORG
ejpam-5478	321	1	0	CARDINAL
ejpam-5478	321	2	1	DATE
ejpam-5478	321	3	2	DATE
ejpam-5478	321	4	1	CARDINAL
ejpam-5478	322	1	pk−1	GPE
ejpam-5478	325	1	k=1 pkq	PERSON
ejpam-5478	326	1	p k−1	ORG
ejpam-5478	327	1	qk−1	LOC
ejpam-5478	327	2	hamiltonian	NORP
ejpam-5478	327	3	2α	CARDINAL
ejpam-5478	334	1	∂dα	NORP
ejpam-5478	334	2	∂d2α s|tqi d2α s|tqi	ORG
ejpam-5478	334	3	∂(d2α s|tqi	GPE
ejpam-5478	334	4	2	CARDINAL
ejpam-5478	338	1	∂qi	PERSON
ejpam-5478	338	2	1	CARDINAL
ejpam-5478	338	3	euler	PERSON
ejpam-5478	338	4	2α	CARDINAL
ejpam-5478	338	5	s|tqi)+d2α s|tqid(p2)+	GPE
ejpam-5478	339	1	m. alawaideh et	PERSON
ejpam-5478	340	1	j. pure	PERSON
ejpam-5478	340	2	18	CARDINAL
ejpam-5478	340	3	1	CARDINAL
ejpam-5478	340	4	2025	CARDINAL
ejpam-5478	340	5	14	CARDINAL
ejpam-5478	340	6	14	CARDINAL
ejpam-5478	342	1	∂qi	PERSON
ejpam-5478	342	2	∂p1 dp1 +	PERSON