Unification of Fractional Calculi with Applications

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...

Full description

Bibliographic Details
Main Author: Anastassiou, George A.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Studies in Systems, Decision and Control
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02598nmm a2200337 u 4500
001 EB002006269
003 EBX01000000000000001169169
005 00000000000000.0
007 cr|||||||||||||||||||||
008 211203 ||| eng
020 |a 9783030869205 
100 1 |a Anastassiou, George A. 
245 0 0 |a Unification of Fractional Calculi with Applications  |h Elektronische Ressource  |c by George A. Anastassiou 
250 |a 1st ed. 2022 
260 |a Cham  |b Springer International Publishing  |c 2022, 2022 
300 |a XI, 419 p  |b online resource 
505 0 |a 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 
653 |a Engineering mathematics 
653 |a Applied Dynamical Systems 
653 |a Control and Systems Theory 
653 |a Nonlinear theories 
653 |a Control engineering 
653 |a Engineering Mathematics 
653 |a Dynamics 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Studies in Systems, Decision and Control 
028 5 0 |a 10.1007/978-3-030-86920-5 
856 4 0 |u https://doi.org/10.1007/978-3-030-86920-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 620.00151 
520 |a 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