On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness



	On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness


	Fixed Point Theory, Volume 24, No. 1, 2023, 343-366, February 1st, 2023 DOI: 10.24193/fpt-ro.2023.1.19 Authors: Ehsan Pourhadi, Reza Saadati and Juan J. Nieto Abstract: In this paper, we present some results concerning the existence and attractivity of solutions for generalized Cauchy problem involving Hilfer fractional derivative using the well-known Krasnoselskii fixed point theorem and the measure of noncompactness. Finally, some examples are provided to illustrate the efficiency of the results. Key Words and Phrases: Fractional differential equations, generalized Cauchy problem, Hilfer fractional derivative, attractivity, Krasnoselskii fixed point theorem, measure of noncompactness, Hermite-Hadamard inequality, Euler's reflection formula. 2010 Mathematics Subject Classification: 47H10, 34A08, 34A12. Published on-line: February 1st, 2023. Fulltext pdf Back to volume's table of contents