Unification of fractional calculi with applications / George A. Anastassiou.
Anastassiou, George A., 1952- author.
2022
QA314
Available Online

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Title Unification of fractional calculi with applications / George A. Anastassiou.
Author Anastassiou, George A., 1952- author.
ISBN 9783030869205 (electronic bk.)
3030869202 (electronic bk.)
9783030869199 (print)
3030869199
DOI https://doi.org/10.1007/978-3-030-86920-5
Published Cham, Switzerland : Springer, [2022]
Language English
Description 1 online resource (xi, 419 pages)
Other Standard Identifiers 10.1007/978-3-030-86920-5 doi
Call Number QA314
Dewey Decimal Classification 515/.83
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed December 1, 2021).
Series Studies in systems, decision and control ; v. 398. 2198-4190
Available in Other Form Unification of fractional calculi with applications.
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All Resources
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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