scholarly journals EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH SEPARATED BOUNDARY CONDITIONS

2010 ◽  
Vol 47 (4) ◽  
pp. 805-813 ◽  
Author(s):  
Bashir Ahmad
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Results ◽  
Fractional Differential Inclusions ◽  
Separated Boundary Conditions ◽  
Fractional Differential

scholarly journals Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Xiaoyou Liu ◽  
Zhenhai Liu
Keyword(s):  
Boundary Conditions ◽  
Lower Order ◽  
Differential Inclusions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Inclusion Problem ◽  
Fractional Differential Inclusions ◽  
Integral Boundary ◽  
Separated Boundary Conditions ◽  
Fractional Differential

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.

A note on the existence of solutions for some boundary value problems of fractional differential inclusions

2012 ◽  
Vol 15 (2) ◽  
Author(s):  
Aurelian Cernea
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Existence Results ◽  
Fractional Differential Inclusions ◽  
Fractional Differential ◽  
Filippov Type

AbstractWe study the existence of solutions for fractional differential inclusions of order q ∈ (1, 2] with families of mixed and closed boundary conditions. We establish Filippov type existence results in the case of nonconvex setvalued maps.

Fractional differential inclusions with fractional separated boundary conditions

2012 ◽  
Vol 15 (3) ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris Ntouyas
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Integral Boundary Conditions ◽  
Inclusion Problem ◽  
Fractional Differential Inclusions ◽  
Integral Boundary ◽  
New Class ◽  
Separated Boundary Conditions ◽  
Fractional Differential

AbstractThis paper studies a new class of boundary value problems of nonlinear fractional differential inclusions of order q ∈ (1, 2] with fractional separated boundary conditions. New existence results are obtained for this class of problems by using some standard fixed point theorems. A possible generalization for the inclusion problem with fractional separated integral boundary conditions is also discussed. Some illustrative examples are presented.

Impulsive fractional differential inclusions with flux boundary conditions

Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 953-961
Author(s):  
Hilmi Ergören
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Results ◽  
Fractional Differential Inclusions ◽  
Multivalued Maps ◽  
Flux Boundary Conditions ◽  
Fractional Differential

In this work we investigate some existence results for solutions of a boundary value problem for impulsive fractional differential inclusions supplemented with fractional flux boundary conditions by applying Bohnenblust-Karlin?s fixed point theorem for multivalued maps.

scholarly journals A Countable System of Fractional Inclusions with Periodic, Almost, and Antiperiodic Boundary Conditions

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ahmed Salem ◽  
Aeshah Al-Dosari
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Differential Inclusions ◽  
Existence Results ◽  
Multivalued Mappings ◽  
Countable System ◽  
Fractional Differential Inclusions ◽  
Inclusion Type ◽  
Fractional Differential

This article is dedicated to the existence results of solutions for boundary value problems of inclusion type. We suggest the infinite countable system to fractional differential inclusions written by D α ABC ν i t ∈ Y i t , ν i t i = 1 ∞ . The mappings y i t , ν i t i = 1 ∞ are proposed to be Lipschitz multivalued mappings. The results are explored according to boundary condition σ ν i 0 = γ ν i ρ ,     σ , γ ∈ ℝ . This type of condition is the generalization of periodic, almost, and antiperiodic types.

scholarly journals On Higher-Order Sequential Fractional Differential Inclusions with Nonlocal Three-Point Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Existence Results ◽  
Point Boundary ◽  
Fractional Differential Inclusions ◽  
Multivalued Maps ◽  
Fractional Differential

We study a nonlinear three-point boundary value problem of sequential fractional differential inclusions of orderξ+1withn-1<ξ≤n,n≥2. Some new existence results for convex as well as nonconvex multivalued maps are obtained by using standard fixed point theorems. The paper concludes with an example.

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