Existence and uniqueness of mild solutions for mixed Caputo and Riemann-Liouville semilinear fractional integrodifferential equations with nonlocal conditions

Authors

ASHRAF H. A. RADWAN

DOI

10.55730/1300-0098.3312

Abstract

The purpose of this paper is to investigate the existence and uniqueness of the mild solution to a class of semilinear fractional integrodifferential equations with state-dependent nonlocal fractional conditions. Our problem includes both Caputo and Riemann-Liouville fractional derivatives. Continuous dependence of solutions on initial conditions and $\epsilon$-approximate mild solutions of the considered problem will be discussed.

Keywords

Fractional derivatives, state-dependent nonlocal conditions, continuous dependence, $C_0$-semigroup, $\epsilon$-approximate solutions, fixed points

First Page

2959

Last Page

2976

Recommended Citation

RADWAN, ASHRAF H. A. (2022) "Existence and uniqueness of mild solutions for mixed Caputo and Riemann-Liouville semilinear fractional integrodifferential equations with nonlocal conditions," Turkish Journal of Mathematics: Vol. 46: No. 7, Article 26. https://doi.org/10.55730/1300-0098.3312
Available at: https://journals.tubitak.gov.tr/math/vol46/iss7/26