Hilfer and Hadamard random fractional differential equations in Fréchet spaces


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	Hilfer and Hadamard random fractional differential equations in Fréchet spaces


	Fixed Point Theory, Volume 20, No. 2, 2019, 391-406, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.25 Authors: Said Abbas, Mouffak Benchohra, Yong Zhou and Ahmed Alsaedi Abstract: This paper deals with some existence and Ulam stability results for Hilfer and Hilfer-Hadamard type fractional random differential equations in Fréchet 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. Key Words and Phrases: Functional random differential equation, Riemann-Liouville integral of fractional order, Hadamard integral of fractional order, Hilfer fractional derivative, Hilfer-Hadamard fractional derivative, Fréchet space, Ulam stability, random fixed point. 2010 Mathematics Subject Classification: 26A33, 34A08, 34K37. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents