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A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdelyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions

    Bashir Ahmad Affiliation
    ; Sotiris K. Ntouyas Affiliation
    ; Jessada Tariboon Affiliation
    ; Ahmed Alsaedi Affiliation

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.

Keyword : Caputo fractional derivative, Erdelyi-Kober, generalized Riemann-Liouville fractional integral, fractional integral, fixed point

How to Cite
Ahmad, B., Ntouyas, S. K., Tariboon, J., & Alsaedi, A. (2017). A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdelyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions. Mathematical Modelling and Analysis, 22(2), 121-139. https://doi.org/10.3846/13926292.2017.1274920
Published in Issue
Mar 18, 2017
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