Existence and uniqueness of solutions to nonlocal-impulsive fractional Cauchy semilinear conformable differential equations

被引：1

作者：

Herzallah, Mohamed A. E. ^{[1
]}

Radwan, Ashraf H. A. ^{[1
]}

机构：

[1] Zagazig Univ, Fac Sci, Zagazig, Egypt

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2019年 / 22卷 / 08期

关键词：

Conformable fractional derivative; Schaefer's fixed point theorem; Gronwall inequality;

D O I：

10.1080/09720502.2019.1696921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to study the existence and uniqueness of solutions to fractional semilinear differential equations with conformable fractional derivative. We prove our results for local and nonlocal-impulsive conditions. This will be accomplished by using Schaefer's fixed-point theorem and Banach's fixed-point principle. Some examples are given to illustrate the main theorems.

引用

页码：1295 / 1310

页数：16

共 50 条

[1] Existence and Uniqueness of Solutions to Some Classes of Nonlocal Semilinear Conformable Fractional Differential or Integrodifferential Equations
Herzallah, Mohamed A. E.
Radwan, Ashraf H. A.
[J]. FILOMAT, 2022, 36 (08) : 2717 - 2728
[2] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
Benchohra, Mouffak
Slimani, Boualem Attou
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[3] Existence and uniqueness of solutions for impulsive fractional differential equations
Rehman, Mujeeb Ur
Eloe, Paul W.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 422 - 431
[4] EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS
Guswanto, Bambang Hendriya
Suzuki, Takashi
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[5] Existence of Solutions for Semilinear Impulsive Delay Differential Equations with Nonlocal Conditions
李美丽
刘海强
[J]. Journal of Donghua University(English Edition), 2010, 27 (05) : 614 - 617
[6] Existence and uniqueness of mild solutions to impulsive fractional differential equations
Mophou, Gisele M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1604 - 1615
[7] On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions
Akça, H
Covachev, V
Al-Zahrani, E
[J]. RECENT ADVANCES IN OPERATOR THEORY, OPEATOR ALGEBRAS, AND THEIR APPLICATIONS, 2005, 153 : 1 - 11
[8] Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
Olszowy, Leszek
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (04): : 623 - 635
[9] Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations
Liu, Zhenhai
Li, Xiuwen
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (06) : 1362 - 1373
[10] EXISTENCE OF MILD SOLUTIONS FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
Bouaouid, Mohamed
Hilal, Khalid
Melliani, Said
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (03) : 871 - 879

← 1 2 3 4 5 →