Unification of Fractional Calculi with Applications

Author:   George A. Anastassiou
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   398
ISBN:  

9783030869229


Pages:   419
Publication Date:   23 November 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Unification of Fractional Calculi with Applications


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Overview

This book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer–Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of the following types: Iyengar, Landau, Polya, Ostrowski, Hilbert–Pachpatte, Hardy, Opial, Csiszar’s f-Divergence, self-adjoint operator and related to fuzziness. Our results are univariate and multivariate. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications can be in applied sciences like geophysics, physics, chemistry, economics and engineering. This book is appropriate for researchers, graduate students, practitioners and seminars of the above disciplines, also to be in all science and engineering libraries.

Full Product Details

Author:   George A. Anastassiou
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   398
Weight:   0.658kg
ISBN:  

9783030869229


ISBN 10:   3030869229
Pages:   419
Publication Date:   23 November 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Progress on generalized Hilfer fractional calculus and fractional integral inequalities.- Landau Generalized Hilfer fractional inequalities.- Iyengar-Hilfer generalized fractional inequalities.- Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte fractional inequalities.- Generalized Hilfer Fractional Approximation of Csiszar’s f-Divergence.- Generalized Hilfer fractional self-adjoint operator inequalities.- Essential forward and reverse generalized Hilfer-Hardy fractional inequalities.- Principles of Generalized Prabhakar-Hilfer fractional Calculus and Applications.

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