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- 2019
Existence Theorems for Mixed Riemann–Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary ConditionsDOI: https://doi.org/10.3390/fractalfract3020021 Keywords: fractional derivatives, fractional integral, boundary value problems, existence, uniqueness, fixed-point theorems Abstract: Abstract 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. View Full-Tex
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