Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales

Abstract

Using a fixed point theorem in a proper Banach space, we prove existence and uniqueness results of positive solutions for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary nonempty closed subsets of the real numbers.

This is a preprint of a paper whose final and definite form is with 'Journal of King Saud University - Science', ISSN 1018-3647. Submitted 16-Dec-2016; revised 18-Feb-2017; accepted for publication 14-March-2017

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Cited by in corpus (7)

• Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
• Generalized Fractional Operators on Time Scales with Application to Dynamic Equations
• Cauchy's formula on nonempty closed sets and a new notion of Riemann--Liouville fractional integral on time scales
• Time-Fractional Optimal Control of Initial Value Problems on Time Scales
• Global Existence of Solutions for a Fractional Caputo Nonlocal Thermistor Problem
• Analysis of fractional integro-differential equations of thermistor type
• Existence, uniqueness and controllability for Hilfer differential equations on times scales