Applied Mathematics and Fractional Calculus

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

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Bibliographic Details
Format:	eBook
Language:	English
Published:	Basel 2022
Subjects:	Mathematics and Science Research and information: general Aboodh transform iterative method Adomian decomposition method anisotropic Lorentz space approximate endpoint criterion approximate solutions Atangana-Baleanu fractional derivative Babenko's approach Banach fixed point theorem Bessel polynomials bilateral tempered fractional derivative boundary value problem Caputo derivative Caputo fractional derivative caputo operator Caputo q-derivative Caputo-Fabrizio and Atangana-Baleanu operators collocation method collocation points concave operator condensing function conservation laws convergence analysis convex functions degenerate evolution equation discrete fractional calculus eigenfunctions and eigenvalues elastic beam problem equations Euler-Lagrange equation existence existence and uniqueness existence of solutions first fundamental theorem of fractional calculus fixed point fixed point theorem fractional burgers equation fractional calculus fractional derivative fractional derivatives fractional differential equation fractional differential equations fractional Dzhrbashyan-Nersesyan derivative fractional Fornberg-Whitham equation (FWE) fractional Kadomtsev-Petviashvili system fractional KdV equation fractional Prabhakar derivatives fractional Sturm-Liouville problems Fredholm-Volterra integral Equations gamma function Gelfand problem general fractional derivative of arbitrary order general fractional integral of arbitrary order Green's function hermite cubic spline HHF type inequality initial boundary value problem initial value problem integral transform lie group analysis MHD equations Mittag-Leffler function nabla fractional difference natural boundary conditions natural transform new iterative transform method nonlocal conditions one-sided tempered fractional derivative optimal controls order cone partial differential equation partial Riemann-Liouville fractional integral power series solutions quantum integro-difference BVP regularity criteria Riemann-Liouville derivative Riemann-Liouville fractional difference operator Riemann-Liouville q-integral second fundamental theorem of fractional calculus semigroup theory separated boundary conditions Shehu decomposition method Shehu transform singular sum fractional q-differential Sonine kernel symmetry tempered fractional derivative tempered riesz potential time delay time-fractional Kaup-Kupershmidt equation Ulam stability weak solution weighted fractional operators ρ-Laplace decomposition method ρ-Laplace variational iteration method φ-Hilfer fractional system with impulses
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Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

Applied Mathematics and Fractional Calculus

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