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Hilfer Fractional Differential Equations

Hilfer Fractional Differential Equations

Paperback

General Mathematics

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ISBN10: 6630429796
ISBN13: 9786630429794
Publisher: LAP Lambert Academic Publishing
Pages: 56
Weight: 0.19
Height: 0.13 Width: 6.00 Depth: 9.00
Language: English
Fractional differential equations offer a powerful framework for modeling phenomena involving memory, hereditary effects, and nonlocal behavior. This book presents a systematic study of nonlinear fractional differential equations involving the Hilfer fractional derivative, with emphasis on boundary value problems and fixed point methods.The book introduces key concepts of fractional calculus and nonlinear functional analysis, including Riemann-Liouville and Caputo derivatives, the Hilfer derivative, and essential fixed point results. Its main focus is on nonlinear Hilfer fractional boundary value problems of Sturm-Liouville and Langevin type, together with coupled systems under suitable boundary conditions.Existence and uniqueness results are established by converting the problems into equivalent fractional integral equations and applying Banach's contraction principle, Schaefer's and Schauder's fixed point theorems, and the Leray-Schauder nonlinear alternative. Illustrative examples demonstrate the results. The book is intended for researchers, graduate students, and mathematicians in fractional calculus, nonlinear analysis, differential equations.

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General Mathematics