Boundary value problem for differential inclusions with infinite delay

2015 ◽  
Vol 3 (5) ◽  
pp. 90-92
Author(s):  
M. Kulmanakova
Keyword(s):  
Boundary Value Problem ◽  
Differential Inclusions ◽  
Infinite Delay ◽  
Boundary Value

scholarly journals Existence of three positive solutions for boundary value problem with fractional order and infinite delay

2015 ◽  
Vol 53 (1) ◽  
pp. 57-76
Author(s):  
Hedia Benaouda
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Fractional Order ◽  
Point Theorem ◽  
Infinite Delay ◽  
Boundary Value

Abstract In this paper we investigate the existence three positives solutions by using Leggett-Williams fixed point theorem in cones for three boundary value problem with fractional order and infinite delay.

scholarly journals Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

2020 ◽  
Vol 6 (1) ◽  
pp. 62-75
Author(s):  
Ahmed Zahed ◽  
Samira Hamani ◽  
Johnny Henderson
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Fractional Differential Inclusions ◽  
Integral Conditions ◽  
Right Hand ◽  
Fractional Differential

AbstractFor r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

scholarly journals On some evolution inclusions in non separable Banach spaces

2021 ◽  
Vol 66 (1) ◽  
pp. 17-27
Author(s):  
Aurelian Cernea
Keyword(s):  
Cauchy Problem ◽  
Boundary Value Problem ◽  
Banach Spaces ◽  
Differential Inclusions ◽  
Mild Solutions ◽  
Boundary Value ◽  
Nonlocal Conditions ◽  
Evolution Inclusion ◽  
Evolution Inclusions ◽  
Filippov Type

We study a Cauchy problem of a class of nonconvex second-order integro-differential inclusions and a boundary value problem associated to a semilinear evolution inclusion defined by nonlocal conditions in non-separable Banach spaces. The existence of mild solutions is established under Filippov type assumptions.

On the existence of a solution for a periodic boundary value problem for semilinear fractional-order differential inclusions in Banach spaces

2021 ◽  
pp. 250-270
Author(s):  
Mikhail I. Kamenskii ◽  
Valeri V. Obukhovskii ◽  
Garik G. Petrosyan
Keyword(s):  
Boundary Value Problem ◽  
Fractional Order ◽  
Differential Inclusions ◽  
Periodic Boundary ◽  
Regularity Condition ◽  
Boundary Value ◽  
Continuous Functions ◽  
Periodic Boundary Value Problem ◽  
Existence Of A Solution ◽  
Measures Of Noncompactness

In this paper, we study a periodic boundary value problem for a class of semilinear differential inclusions of fractional order in a Banach space for which the multivalued nonlinearity satisfies the regularity condition expressed in terms of measures of noncompactness. To prove the existence of solutions to the problem, we first construct the corresponding Green function. Then we introduce into consideration a multivalued resolving operator in the space of continuous functions and reduce the posed problem to the existence of fixed points of the resolving multioperator. To prove the existence of a fixed point, a generalized theorem of B.N. Sadovskii type for a condensing multivalued map is used.

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