Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions
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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
Keywords
- Hilfer fractional derivative
- Krasnoselskii's fixed point theorem
- Gronwall's inequality
MSC
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