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A Study of Fractional Differential Equations and Inclusions with Nonlocal Erdelyi-Kober Type Integral Boundary Conditions
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A Study of Fractional Differential Equations and Inclusions with Nonlocal Erdelyi-Kober Type Integral Boundary Conditions

Bashir Ahmad, Sotiris K. Ntouyas, Yong Zhou and Ahmed Alsaedi
Bulletin of the Iranian Mathematical Society, Vol.44(5), pp.1315-1328
01/10/2018

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study a new kind of nonlocal boundary value problems of nonlinear fractional differential equations supplemented with Erdelyi-Kober type fractional integral conditions. The uniqueness of solutions for the given problem is established by means of contraction mapping principle. Applying nonlinear alternative for contractive maps, we investigate the inclusions case of the problem at hand. Examples illustrating the main results are constructed as well.

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