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Existence Theorems for Mixed Riemann-Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions
Journal article   Open access  Peer reviewed

Existence Theorems for Mixed Riemann-Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions

Sotiris K. Ntouyas, Ahmed Alsaedi and Bashir Ahmad
Fractal and fractional, Vol.3(2), pp.1-20
01/04/2019
DOI: https://doi.org/10.3390/fractalfract3020021

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper, we discuss the existence and uniqueness of solutions for a new class of single and multi-valued boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives, and nonlocal fractional integro-differential boundary conditions. Our results rely on modern tools of functional analysis. We also demonstrate the application of the obtained results with the aid of examples.
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https://doi.org/10.3390/fractalfract3020021View
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