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HILFER AND HADAMARD RANDOM FRACTIONAL DIFFERENTIAL EQUATIONS IN FRECHET SPACES
Journal article   Open access

HILFER AND HADAMARD RANDOM FRACTIONAL DIFFERENTIAL EQUATIONS IN FRECHET SPACES

Said Abbas, Mouffak Benchohra, Yong Zhou, Ahmed Alsaedi and Laboratory of Mathematics, University of Saida P.O. Box 138, Saida 20000, Algeria, E-mail: abbasmsaid@yahoo.fr
FIXED POINT THEORY, Vol.20(2), pp.391-406
01/01/2019
DOI: https://doi.org/10.24193/fpt-ro.2019.2.25

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper deals with some existence and Ulam stability results for Hilfer and Hilfer-Hadamard type fractional random differential equations in Frechet spaces. A random fixed point theorem is applied to prove the existence of random solutions. Also it is shown that the solutions to our problems are generalized Ulam-Hyers-Rassias stable.
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https://doi.org/10.24193/fpt-ro.2019.2.25View
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