Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions

Volume 12, Issue 9, pp 573--581 http://dx.doi.org/10.22436/jnsa.012.09.02
Publication Date: April 17, 2019 Submission Date: December 20, 2018 Revision Date: April 03, 2019 Accteptance Date: April 07, 2019

Authors

Mohamed I. Abbas - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, Egypt.


Abstract

We discuss the existence, uniqueness and continuous dependence of solution for a non-autonomous semilinear Hilfer fractional differential equation with nonlocal conditions in the space of weighted continuous functions. By means of the Krasnoselskii's fixed point theorem and the generalized Gronwall's inequality, we establish the desired results.


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ISRP Style

Mohamed I. Abbas, Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 9, 573--581

AMA Style

Abbas Mohamed I., Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions. J. Nonlinear Sci. Appl. (2019); 12(9):573--581

Chicago/Turabian Style

Abbas, Mohamed I.. "Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions." Journal of Nonlinear Sciences and Applications, 12, no. 9 (2019): 573--581


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