Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems

Existence Results for Nonlocal Boundary Value Problems for Fractional Differential Equations and Inclusions with Fractional Integral Boundary Conditions

This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.

Existence Results for First Order Boundary Value Problems for Fractional Differential Equations and Inclusions with Fractional Integral Boundary Conditions

This paper studies a new class of boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems. Some illustrative examples are also discussed.

Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions

Fractional-order boundary value problems with Katugampola fractional integral conditions

*Correspondence: [email protected] Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Turkish Republic of Northern Cyprus Abstract In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions. Several fixed point theorems are used for sufficient conditions of existence (u...

EXISTENCE RESULTS FOR MULTI-POINT BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL q-DIFFERENCE EQUATIONS

In this paper, by using the Schauder fixed point theorem and the Banach contraction principle, we investigate existence and uniqueness of solutions for a class of multi-point boundary value problems of nonlinear fractional q-difference equations. As applications, two examples are presented to show the effectiveness of the obtained results.