Fractional Integrals and Derivatives: “True” versus “False”

This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like "What are the fractional integrals and derivatives?", "What are their decisive mathematical properties?",...

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Další autoři:	Luchko, Yuri (Editor)
Médium:	Kapitola
Vydáno:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Témata:	Research & information: general Mathematics & science fractional derivatives fractional integrals fractional calculus fractional anti-derivatives fractional operators integral transforms convergent series fractional integral fractional derivative numerical approximation translation operator distributed lag time delay scaling dilation memory depreciation probability distribution fractional models fractional differentiation distributed time delay systems Volterra equation adsorption fractional differential equations numerical methods smoothness assumptions persistent memory initial values existence uniqueness Crank-Nicolson scheme weighted Shifted Grünwald-Letnikov approximation space fractional convection-diffusion model stability analysis convergence order Caputo-Fabrizio operator Atangana-Baleanu operator fractional falculus general fractional derivative general fractional integral Sonine condition fractional relaxation equation fractional diffusion equation Cauchy problem initial-boundary-value problem inverse problem fractional calculus operators special functions generalized hypergeometric functions integral transforms of special functions
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Fractional Integrals and Derivatives: “True” versus “False”

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