Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions

2018/05/15 by Haddouchi, Faouzi
#34A08 #34B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.06015

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem supplemented with nonlocal Riemann-Liouville fractional integral and Caputo fractional derivative boundary conditions. Our results are based on some known tools of fixed point theory. Finally, some illustrative examples are included to verify the validity of our results.

Related

• On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions
• Existence of smooth solutions of multi-term Caputo-type fractional differential equations
• Fractional differential inclusions with a new class of set-valued contractions
• Existence of positive solutions to boundary value problems of Caputo fractional difference equations
• Fractional differential equations with dependence on the\n Caputo-Katugampola derivative