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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
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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, Sotiris K. Ntouyas, Jessada Tariboon and Ahmed Alsaedi
Mathematical modelling and analysis, Vol.22(2), pp.121-139
04/03/2017

Abstract

Mathematics Physical Sciences Science & Technology
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.
url
https://doi.org/10.3846/13926292.2017.1274920View
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