Abstract
The present chapter deals with some existence, uniqueness, and Ulam stability results for a class of initial and boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer-type fractional derivative. The tools employed are some suitable fixed point theorems combined with the technique of measure of noncompactness. We provide illustrations to demonstrate the applicability of our results for each section.
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Benchohra, M., Karapınar, E., Lazreg, J.E., Salim, A. (2023). Fractional Differential Equations with Non-Instantaneous Impulses. In: Advanced Topics in Fractional Differential Equations. Synthesis Lectures on Mathematics & Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-26928-8_5
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DOI: https://doi.org/10.1007/978-3-031-26928-8_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-26927-1
Online ISBN: 978-3-031-26928-8
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