scholarly journals Existence of Solutions for Some Coupled Systems of Fractional Differential Inclusions

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 700
Author(s):  
Aurelian Cernea
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
The State ◽  
Coupled Systems ◽  
State Variables ◽  
Fractional Differential Inclusions ◽  
Fractional Differential

We study two coupled systems of nonconvex fractional differential inclusions with certain nonlocal boundary conditions and we prove the existence of solutions in the case when the set-valued maps are Lipschitz in the state variables.

scholarly journals On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Samiha Belmor ◽  
Fahd Jarad ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Conditions ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Coupled Systems ◽  
Fractional Differential Inclusions ◽  
Research Article ◽  
Fractional Differential

AbstractThis research article is mainly concerned with the existence of solutions for a coupled Caputo–Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi–Takahashi’s fixed point theorem with the help of $\mathcal{P}$ P -function characterizations.

Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions

2018 ◽  
Vol 21 (2) ◽  
pp. 423-441 ◽  
Author(s):  
Bashir Ahmad ◽  
Rodica Luca
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Fractional Integrals ◽  
Nonlinear Alternative ◽  
Coupled Boundary Conditions ◽  
Fractional Differential

AbstractWe study the existence of solutions for a system of nonlinear Caputo fractional differential equations with coupled boundary conditions involving Riemann-Liouville fractional integrals, by using the Schauder fixed point theorem and the nonlinear alternative of Leray-Schauder type. Two examples are given to support our main results.

scholarly journals Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Wen-Xue Zhou ◽  
Hai-Zhong Liu
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Fractional Differential Inclusions ◽  
Existence Of Weak Solutions ◽  
Nonseparated Boundary Conditions ◽  
Mönch Fixed Point Theorem ◽  
Fractional Differential ◽  
Measures Of Weak Noncompactness ◽  
Pettis Integrability

We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions. Our analysis relies on the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.

scholarly journals On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Ahmed Alsaedi ◽  
Dumitru Baleanu ◽  
Sina Etemad ◽  
Shahram Rezapour
Keyword(s):  
Fractional Derivative ◽  
Fractional Differential Equations ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Coupled System ◽  
Continuous Functions ◽  
Coupled Systems ◽  
Fractional Differential Inclusions ◽  
Fractional Differential ◽  
Time Fractional Differential Equations

The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact- and convex-valuedL1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.

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.

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