EXISTENCE OF SOLUTIONS TO FRACTIONAL-ORDER IMPULSIVE HYPERBOLIC PARTIAL DIFFERENTIAL INCLUSIONS

被引：0

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
,3
]}

机构：

[1] Univ Saida, Math Lab, Saida 20000, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Impulsive hyperbolic differential inclusions; fractional order; upper solution; lower solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we use the upper and lower solution method combined with a fixed point theorem for condensing multivalued maps, due to Martelli, to study the existence of solutions to impulsive partial hyperbolic di ff erential inclusions at fixed instants of impulse.

引用

页数：13

共 50 条

[21] Existence and Ulam Stability for Partial Impulsive Discontinuous Fractional Differential Inclusions in Banach Algebras
Saïd Abbas
Mouffak Benchohra
Mediterranean Journal of Mathematics, 2015, 12 : 1245 - 1264
[22] Existence and Ulam Stability for Partial Impulsive Discontinuous Fractional Differential Inclusions in Banach Algebras
Abbas, Said
Benchohra, Mouffak
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (04) : 1245 - 1264
[23] EXISTENCE OF SOLUTIONS TO IMPULSIVE FRACTIONAL PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY
Yan, Zuomao
Zhang, Hongwu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[24] SOME REMARKS ON THE PAPER "ON THE SET OF SOLUTIONS FOR THE DARBOUX PROBLEM FOR FRACTIONAL ORDER PARTIAL HYPERBOLIC FUNCTIONAL DIFFERENTIAL INCLUSIONS"
Cernea, Aurelian
FIXED POINT THEORY, 2016, 17 (02): : 295 - 299
[25] On the Existence of Solutions for Impulsive Fractional Differential Equations
Guan, Yongliang
Zhao, Zengqin
Lin, Xiuli
ADVANCES IN MATHEMATICAL PHYSICS, 2017, 2017
[26] EXISTENCE OF MILD SOLUTIONS FOR IMPULSIVE FRACTIONAL-ORDER SEMILINEAR EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
Chauhan, Archana
Dabas, Jaydev
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[27] Existence, uniqueness and stability of fractional impulsive functional differential inclusions
Sousa, J. Vanterler da C.
Kucche, Kishor D.
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2021, 15 (02): : 839 - 857
[28] Existence, uniqueness and stability of fractional impulsive functional differential inclusions
J. Vanterler da C. Sousa
Kishor D. Kucche
São Paulo Journal of Mathematical Sciences, 2021, 15 : 839 - 857
[29] Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces
Yan, Zuomao
Zhang, Hongwu
ANNALES POLONICI MATHEMATICI, 2014, 110 (02) : 143 - 169
[30] Existence of global solutions for second order impulsive abstract partial differential equations
Sivasankaran, S.
Arjunan, M. Mallika
Vijayakumar, V.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6747 - 6757

← 1 2 3 4 5 →