Nonlinear Implicit Hadamard's Fractional Differential Equations with Retarded and Advanced Arguments

被引：0

作者：

Benchohra, M. ^{[1
]}

Bouriah, S. ^{[2
]}

Henderson, J. ^{[3
]}

机构：

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

[2] Hassiba Benbouali Univ, Fac Exact Sci & Informat, Dept Math, POB 151, Chlef 02000, Algeria

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2018年 / 8卷 / 02期

关键词：

Hadamard's fractional derivative; implicit fractional differential equations; fractional integral; existence; retarded arguments; advanced arguments; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence and uniqueness of solutions for a class of problem for nonlinear implicit fractional differential equations (NIFDE for short) of Hadamard type involving both retarded and advanced arguments. The proofs of our main results are based upon the Banach contraction principle and the Schauder fixed point theorem. We present two examples to show the applicability of our results.

引用

页码：72 / 85

页数：14

共 50 条

[21] Boundary Value Problems for Nonlinear Implicit Caputo–Hadamard-Type Fractional Differential Equations with Impulses
Mouffak Benchohra
Soufyane Bouriah
John R. Graef
Mediterranean Journal of Mathematics, 2017, 14
[22] Boundary Value Problems for Nonlinear Implicit Caputo-Hadamard-Type Fractional Differential Equations with Impulses
Benchohra, Mouffak
Bouriah, Soufyane
Graef, John R.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
[23] Analysis of Neutral Implicit Stochastic Hilfer Fractional Differential Equation Involving Lévy Noise with Retarded and Advanced Arguments
Khalil, Hamza
Zada, Akbar
Rhaima, Mohamed
Popa, Ioan-Lucian
MATHEMATICS, 2024, 12 (21)
[24] Slowly varying solutions of functional differential equations with retarded and advanced arguments
Kusano, Takasi
Maric, Vojislav
GEORGIAN MATHEMATICAL JOURNAL, 2007, 14 (02) : 301 - 314
[25] NONLINEAR IMPLICIT CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS
Derdar, Nedjemeddine
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4B): : 999 - 1014
[26] On some nonlinear ordinary differential equations with advanced arguments
Augustynowicz, A
Leszczynski, H
Walter, W
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (3-4) : 495 - 505
[27] Solvability for a class of nonlinear Hadamard fractional differential equations with parameters
Alesemi, Meshari
BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
[28] ON SYSTEM OF NONLINEAR HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIFFERENT ORDERS
Awadalla, Muath M.
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2020, 22 (02): : 137 - 154
[29] NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER AT RESONANCE
Benchohra, Mouffak
Bouriah, Soufyane
Graef, John R.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[30] Implicit nonlinear fractional differential equations of variable order
Amar Benkerrouche
Mohammed Said Souid
Kanokwan Sitthithakerngkiet
Ali Hakem
Boundary Value Problems, 2021

← 1 2 3 4 5 →