A STUDY OF NONLINEAR FRACTIONAL-ORDER BOUNDARY VALUE PROBLEM WITH NONLOCAL ERDELYI-KOBER AND GENERALIZED RIEMANN-LIOUVILLE TYPE INTEGRAL BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

A STUDY OF NONLINEAR FRACTIONAL-ORDER BOUNDARY VALUE PROBLEM WITH NONLOCAL ERDELYI-KOBER AND GENERALIZED RIEMANN-LIOUVILLE TYPE INTEGRAL BOUNDARY CONDITIONS

Published:2017-03-18 Issue:2 Volume:22 Page:121-139
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Ahmad Bashir¹,Ntouyas Sotiris K.²,Tariboon Jessada³,Alsaedi Ahmed¹

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group

2. University of Ioannina

3. King Mongkut’s University of Technology North Bangkok

Abstract

We investigate a new kind of nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with integral boundary conditions involving Erdelyi-Kober and generalized Riemann-Liouville fractional integrals. Existence and uniqueness results for the given problem are obtained by means of standard fixed point theorems. Examples illustrating the main results are also discussed.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference34 articles.

1. Extended Riemann-Liouville fractional derivative operator and its applications

2. Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions

3. Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions

4. Nonlocal Fractional Boundary Value Problems with Slit-Strips Boundary Conditions

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