Results 31 to 40 of about 279 (112)

Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives

open access: yesDiscrete Dynamics in Nature and Society, 2019
In this paper, we study the impulsive fractional differential inclusions with two different Caputo fractional derivatives and nonlinear integral boundary value conditions.
Dongdong Gao, Jianli Li
doaj   +1 more source

Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions

open access: yesNonlinear Analysis, 2019
In this paper, we investigate the controllability of nonlocal Hilfer-type fractional differential inclusions with noninstantaneous impulsive conditions in Banach spaces.
JinRong Wang   +2 more
doaj   +3 more sources

On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale

open access: yesBoundary Value Problems, 2020
Nowadays most researchers have been focused on fractional calculus because it has been proved that fractional derivatives could describe most phenomena better than usual derivations.
Mohammad Esmael Samei, Shahram Rezapour
doaj   +1 more source

Generalizations of the Nonlinear Henry Inequality and the Leray–Schauder Type Fixed Point Theorem with Applications to Fractional Differential Inclusions

open access: yesFractal and Fractional, 2021
The authors give some singular versions of the Gronwall–Bihari–Henry inequalities. They also establish a multivalued version of the Leray–Schauder alternative in strictly star-shaped sets.
Zouaoui Hamlat   +2 more
doaj   +1 more source

Fractional differential inclusions with anti-periodic boundary conditions in Banach spaces.

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
The main purpose of this paper is to provide the theory of differential inclusions by new existence results of solutions for boundary value problems of differential inclusions with fractional order and with anti-periodic boundary conditions in Banach ...
Ahmed Ibrahim
doaj   +1 more source

Fractional hybrid inclusion version of the Sturm–Liouville equation

open access: yesAdvances in Difference Equations, 2020
The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two
Zohreh Zeinalabedini Charandabi   +1 more
doaj   +1 more source

Extremal Solutions and Relaxation Problems for Fractional Differential Inclusions [PDF]

open access: yesAbstract and Applied Analysis, 2013
We present the existence of extremal solution and relaxation problem for fractional differential inclusion with initial conditions.
Juan J. Nieto   +2 more
openaire   +5 more sources

Development on a Fractional Hybrid Differential Inclusion with a Nonlinear Nonlocal Fractional-Order Integral Inclusion

open access: yesMathematics, 2022
In this article, we consider a Riemann–Liouville fractional-order nonlinear hybrid delay differential inclusion with a nonlinear set-valued nonlocal integral condition of fractional order. We prove some existence and uniqueness results in C(I,R). We also study the continuous dependence of the solutions on the two sets of selections of the two set ...
Ahmed M. A. El-Sayed   +2 more
openaire   +2 more sources

IMPULSIVE PARTIAL HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER

open access: yesDemonstratio Mathematica, 2010
AbstractIn this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator

open access: yesMathematics
This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence
Charles Castaing   +2 more
doaj   +1 more source

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