Fractional Calculus new applications in understanding nonliear phenomena.
- New York : Bentham Science Publishers, (c)2022.
- 1 online resource (275 pages).
- Current Developments in Mathematical Sciences Ser. ; v.3 .
Description based upon print version of record.
Includes bibliographies and index.
Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- List of Contributors -- Numerical Procedure and its Applications to theFractional-Order Chaotic System Represented withthe Caputo Derivative -- A New Method of Multistage Optimal HomotopyAsymptotic Method for Solution of FractionalOptimal Control Problem -- Complex Chaotic Fractional-order Finance Systemin Price Exponent with Control and Modeling -- The Duhamel Method in Transient HeatConduction: A Rendezvous of Classics and ModernFractional Calculus Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line -- Optimal Homotopy Analysis of a NonlinearFractional-order Model for HTLV-1 Infection ofCD4+ T-Cells -- Behavior Analysis and Asymptotic Stability of theTraveling Wave Solution of the Kaup-KupershmidtEquation for Conformable Derivative -- Mathematical Analysis of a Rumor SpreadingModel within the Frame of Fractional Derivative -- A Unified Approach for the Fractional System ofEquations Arising in the Biochemical Reactionwithout Singular Kernel -- Floating Object Induced Hydro-morphologicalEffects in Approach Channel Subject Index -- Back Cover
In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators.These have been intensively studied formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natu.