L1-Solutions for Implicit Fractional Order Differential Equations with Nonlocal Conditions

被引：17

作者：

Benchohra, Mouffak ^{[1
,2
]}

Souid, Mohammed Said ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Univ Tiaret, Dept Sci Econ, Tiaret, Algeria

来源：

FILOMAT | 2016年 / 30卷 / 06期

关键词：

Implicit fractional-order differential equation; Caputo fractional derivative; Banach contraction fixed point theorem; Nonlocal condition;

D O I：

10.2298/FIL1606485B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of integrable solutions of the nonlocal problem for fractional order implicit differential equations with nonlocal condition. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem.

引用

页码：1485 / 1492

页数：8

共 50 条

[21] POSITIVE SOLUTIONS TO ADVANCED FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Jankowski, Tadeusz
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2015, 9 (02) : 209 - 220
[22] Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions
Mohamed Bouaouid
Acta Mathematicae Applicatae Sinica, English Series, 2023, 39 : 249 - 261
[23] Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions
Mohamed BOUAOUID
ActaMathematicaeApplicataeSinica, 2023, 39 (02) : 249 - 261
[24] EXISTENCE OF MILD SOLUTIONS FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
Bouaouid, Mohamed
Hilal, Khalid
Melliani, Said
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (03) : 871 - 879
[25] Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions
Bouaouid, Mohamed
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2023, 39 (02): : 249 - 261
[26] Remarks on L1-solutions of dilation equations
Morawiec J.
aequationes mathematicae, 2006, 71 (1-2) : 19 - 28
[27] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
Ravi P Agarwal
Sotiris K Ntouyas
Bashir Ahmad
Mohammed S Alhothuali
Advances in Difference Equations, 2013
[28] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
Agarwal, Ravi P.
Ntouyas, Sotiris K.
Ahmad, Bashir
Alhothuali, Mohammed S.
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[29] NULL CONTROLLABILITY OF ?-HILFER IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL NONLOCAL CONDITIONS
Kerboua, Mourad
Bouacida, Ichrak
Segni, Sami
EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1473 - 1491
[30] Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
Zhang, Xinguang
Han, Yuefeng
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 555 - 560

← 1 2 3 4 5 →