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GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS EQUIPPED WITH NONLOCAL GENERALIZED FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
Journal article   Peer reviewed

GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS EQUIPPED WITH NONLOCAL GENERALIZED FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

Sotiris K. Ntouyas, Bashir Ahmad, Madeaha Alghanmi and Ahmed Alsaedi
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, Vol.54(2B), pp.1051-1073
01/12/2019
DOI: https://doi.org/10.12775/TMNA.2019.035

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we establish sufficient criteria for the existence of solutions for generalized fractional differential equations and inclusions supplemented with generalized fractional integral boundary conditions. We make use of the standard fixed point theorems for single-valued and multivalued maps to obtain the desired results, which are well illustrated with the aid of examples.

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