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Applied Mathematics and Fractional Calculus II

In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to studying integrals and derivatives of arbitrary or...

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Bibliographic Details
Main Author:	González, Francisco Martínez
Other Authors:	Kaabar, Mohammed K. A.
Format:	eBook
Language:	English
Published:	Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
Subjects:	Boundary Conditions Existence Exact Solution Yang Transform Erdélyi-type Integral Midpoint Formula Functional Differential Equation Mathematics & Science / Bicssc Caputo Fractional Derivatives Lyapunov Functions Moderna Vaccine Fixed Point Weighted Integral Delays Integral Inequalities Bhcs Algorithm Fractional Differential Equation Weakly Coupled System Of Equations Three-variable Hermite-based Appell Polynomials Fractional Integral Pfizer Vaccine Hilbert Transform Convolution Finite Delay Mittag-leffler Stability Bessel Functions Delta Sequences Equivalence Class Fractional Optimal Control Problems (focps) Controllability Fixed-point Theory State Dependent Delay Fixed Point Theorems Averaging Principle Composition Operators Fractional Differential Equations (fdes) Operational Rule Generalized Fourth Order Runge-kutta Method Boehmian Optimal Control ψ-capuo Fractional Stochastic Delay Differential Equations Generalized Fractional Derivatives Generalized Fractional Integrals Instantaneous Impulses Heat Conduction Navier-stokes Equations Fractional Integro-differential Equations Lp Convergence Cosine And Sine Family Fractional Klein-gordon Equation Numerical Method Free Terminal Time Non-instantaneous Impulses Riemann-liouville Fractional Derivative Variable-order Hybrid Operator Research & Information: General / Bicssc Boundary Value Problems Fractional Integral Operator Janssen Vaccine Cuckoo Search Razumikhin Method Hermite Polynomials Shock Wave Equation Fractional Derivatives Dunkl Theory Homotopy Perturbation Method Compact Support Mild Solution Global Existence Fractional Derivative Series Solution Human Head Poisson Jumps Existence And Uniqueness Appell Polynomials Mild Solutions Mohand Transform Theta Finite Difference Method Fractional Hilbert Transform Coupled System Random Fixed Point S-convex Functions θ-evolution Equation Generalized Hypergeometric Function Regularity Integral Transforms Fractional Calculus Generalized Proportional Fractional Derivatives Sinusoidal
Online Access:	https://directory.doabooks.org/handle/20.500.12854... https://www.mdpi.com/books/pdfview/book/8232
Collection:	Directory of Open Access Books - Collection details see MPG.ReNa

Description
Summary:	In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to studying integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until a few years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing, and entropy theory. Since fractional order's differential and integral operators are nonlinear operators, fractional calculus theory provides a tool for modeling physical processes, which in many cases is more useful than classical formulations; this is why applying fractional calculus theory has become a focus of international academic research. This Special Issue, "Applied Mathematics and Fractional Calculus II," has published excellent research studies in the field of applied mathematics and fractional calculus, authored by many well-known mathematicians and scientists from diverse countries worldwide, such as the USA, Ireland, Romania, Bulgaria, Türkiye, China, Pakistan, Iran, Egypt, India, Iraq, and Saudi Arabia.
Item Description:	Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:	1 electronic resource (306 p.)
ISBN:	books978-3-0365-9424-8 9783036594255 9783036594248

Applied Mathematics and Fractional Calculus II

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