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
Other Authors:	González, Francisco Martínez (Editor), Kaabar, Mohammed K. A. (Editor)
Format:	Electronic Book Chapter
Language:	English
Published:	Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
Subjects:	Research & information: general Mathematics & science fractional Klein-Gordon equation Yang transform homotopy perturbation method series solution Mohand transform shock wave equation composition operators Erdélyi-type integral fractional integral operator generalized hypergeometric function convolution Boehmian fractional Hilbert transform Hilbert transform equivalence class delta sequences compact support generalized fractional derivatives generalized fractional integrals coupled system existence fixed point generalized proportional fractional derivatives delays non-instantaneous impulses instantaneous impulses Mittag-Leffler stability Razumikhin method Lyapunov functions fractional calculus fixed-point theory Riemann-Liouville fractional derivative fractional differential equation sinusoidal exact solution fractional integro-differential equations boundary conditions existence and uniqueness fixed point theorems random fixed point state dependent delay controllability functional differential equation mild solution finite delay cosine and sine family Navier-Stokes equations Caputo fractional derivatives mild solutions regularity fractional derivatives weighted integral midpoint formula integral inequalities s-convex functions optimal control fractional differential equations (FDEs) fractional optimal control problems (FOCPs) free terminal time Hermite polynomials Appell polynomials three-variable Hermite-based Appell polynomials fractional derivative integral transforms operational rule variable-order hybrid operator Pfizer vaccine Moderna vaccine Janssen vaccine theta finite difference method generalized fourth order Runge-Kutta method θ-evolution equation weakly coupled system of equations global existence averaging principle ψ-Capuo fractional stochastic delay differential equations Poisson jumps Lp convergence boundary value problems heat conduction BHCS algorithm Cuckoo search numerical method human head Dunkl theory fractional Integral Bessel functions
Online Access:	DOAB: download the publication DOAB: description of the publication
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