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Unification of fractional calculi with applications / George A. Anastassiou.

9783030869205 (electronic bk.)
3030869202 (electronic bk.)
9783030869199 (print)
3030869199

Cham, Switzerland : Springer, [2022]

English

1 online resource (xi, 419 pages)

10.1007/978-3-030-86920-5 doi

QA314

515/.83

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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed December 1, 2021).

Studies in systems, decision and control ; v. 398. 2198-4190

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