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Caputo Type Fractional Differential Equations with Nonlocal Riemann-Liouville and Erdelyi-Kober Type Integral Boundary Conditions
Journal article   Peer reviewed

Caputo Type Fractional Differential Equations with Nonlocal Riemann-Liouville and Erdelyi-Kober Type Integral Boundary Conditions

Bashir Ahmad, Sotiris K. Ntouyas, Jessada Tariboon and Ahmed Alsaedi
Filomat, Vol.31(14), pp.4515-4529
01/01/2017
DOI: https://doi.org/10.2298/FIL1714515A

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with different combinations of Riemann-Liouville and Erdelyi-Kober type fractional integral boundary conditions. By applying a variety of tools of fixed point theory, the desired existence and uniqueness results are obtained. Examples illustrating the main results are also constructed.

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