Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces



	Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces


	Fixed Point Theory, Volume 23, No. 1, 2022, 21-34, February 1st, 2022 DOI: 10.24193/fpt-ro.2022.1.02 Authors: Saïd Abbas, Mouffak Benchohra and Adrian Petruşel Abstract: This article deals with some existence and uniqueness of solutions for some coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations. Some applications are made of generalizations of classical fixed point theorems on generalized Banach spaces. Key Words and Phrases: Fractional differential equation, left-sided mixed Riemann-Liouville integral of fractional order, left-sided mixed Hadamard integral of fractional order, Hilfer fractional derivative, Hadamard fractional derivative, coupled system, generalized Banach space, fixed point. 2010 Mathematics Subject Classification: 26A33, 47H10, 54H25, 34A08. Published on-line: February 1st, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents