Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3312
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, A. H (2022). Existence and uniqueness of mild solutions for mixed Caputo and Riemann-Liouville semilinear fractional integrodifferential equations with nonlocal conditions. Turkish Journal of Mathematics 46 (7): 2959-2976. https://doi.org/10.55730/1300-0098.3312
