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Extremal solutions for generalized Caputo fractional differential equations with Steiltjes-type fractional integro-initial conditions
Journal article   Open access  Peer reviewed

Extremal solutions for generalized Caputo fractional differential equations with Steiltjes-type fractional integro-initial conditions

Ahmed Alsaedi, Bashir Ahmad and Madeaha Alghanmi
Applied mathematics letters, Vol.91, pp.113-120
01/05/2019
DOI: https://doi.org/10.1016/j.aml.2018.12.006

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study a new fractional-order initial value problem involving a Caputo-type generalized fractional derivative and a Steiltjes type fractional integral. Extremal solutions for the given problem are obtained by monotone iterative method. An example illustrating the main result is presented. (C) 2018 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.aml.2018.12.006View
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