SOLVABILITY OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LOGARITHMIC TYPE INITIAL DATA

被引：0

作者：

Nyamoradi, Nemat ^{[1
]}

Ahmad, Bashir ^{[2
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POBox 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 03期

关键词：

Hadamard fractional derivative; logarithmic type initial data; existence of solutions; fixed point; BOUNDARY-VALUE PROBLEM; EXISTENCE;

D O I：

10.11948/20230312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Leray-Schauder nonlinear alternative and contraction mapping principle, we study the existence and uniqueness of solutions to a new class of Hadamard fractional differential equations on a half -line supplemented with logarithmic type initial conditions.

引用

页码：1613 / 1624

页数：12

共 16 条

[1] Ahmad B., 2017, HADAMARD TYPE FRACTI
[2] On a Coupled Integro-Differential System Involving Mixed Fractional Derivatives and Integrals of Different Orders
Ahmad, Bashir
Agarwal, Ravi P.
Broom, Abrar
Alsaedi, Ahmed
[J]. ACTA MATHEMATICA SCIENTIA, 2021, 41 (04) : 1366 - 1384
[3] [Anonymous], 2001, Fixed Point Theory and Applications
[4] GRANAS A, 1991, J MATH PURE APPL, V70, P153
[5] Hadamard Jacques., 1892, Essai sur l'etude des fonctions, donnees par leur developpement de Taylor
[6] Kilbas A.A., 2006, N HOLLAND MATH STUDI, V204, DOI DOI 10.1016/S0304-0208(06)80001-0
[7] Existence of three positive solutions of m-point boundary value problems for some nonlinear fractional differential equations on an infinite interval
Liang, Sihua
Zhang, Jihui
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) : 3343 - 3354
[8] Existence of multiple positive solutions for m-point fractional boundary value problems on an infinite interval
Liang, Sihua
Zhang, Jihui
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) : 1334 - 1346
[9] Existence and uniqueness of solutions for a class of initial value problems of fractional differential systems on half lines
Liu, Yuji
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (08): : 1048 - 1071
[10] Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line
Liu, Yuji
Ahmad, Bashir
Agarwal, Ravi P.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,

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