New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions

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

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.

New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions

This paper studies a boundary value problem of nonlinear fractional differential equations of order q ∈ 1, 2 with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameter in three-point integral boundary conditions appears ...

Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract This article studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with strip conditions...

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.