Advances in Fractional Differential Operators and Their Applications

The application of generalized and fractional derivatives, such as Caputo and Riemann-Liouville derivatives, has witnessed a dramatic increase in recent years. This reprint focuses on related theoretical and applied research in areas such as the stability of time series, Lotka-Volterra systems, dist...

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Bibliographic Details
Format:	eBook
Language:	English
Published:	Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
Subjects:	Mathematics & science Research & information: general Abel-Lidskii basis property Adomian decomposition method Aleph functions approximate solution asymptotics block pulse boundedness Cahn-Hilliard equation cantilever beam Caputo derivative Caputo sense Caputo's derivatives Concentration-Compactness Principle cubic polynomial spline definite integrals determination of the order of derivative distributed delay eigenvalues Euler-Lagrange theorem evolution equations existence existence and uniqueness of minimizers existence of solution existence of solutions Fourier method Fox functions fractional boundary value problem fractional calculus fractional differential equation fractional differential equations fractional diffusion equation fractional Fornberg-Whitham equation fractional Langevin equation fractional Laplacian fractional partial differential equations fractional piecewise order derivative fractional quasi-linear viscoelasticity fractional Riccati differential equation Fractional Sturm-Liouville fractional wave equation fractional-order nonlinear system fractional-order operator genus theory gradient nonlinearity homotopy analysis method homotopy perturbation method hyper-Bessel input delay instability inverse problem Laplace transform leader-following consensus Lotka-Volterra system Mellin-Barnes integrals memory Mittag-Leffler function ML-kernel model perturbation analysis model stability Mountain Pass Theorem multi-order fractional differential equation multiplicity of solutions numerical simulation operational matrix operator function p-derivative partial differential equation power-law visco-elasto-plasticity Razumikhin approach residual power series Riemann-Liouville derivatives Saxena function Schatten-von Neumann class sequence operator Sinc methods Sinc quadrature space-fractional Fisher's equation stability stability results Taylor polynomials time series time-fractional integration two dimensional Volterra integral equation UH-type stability variable exponents variable kernel variational iteration method variational methods von Neumann stability κ(x)-Laplacian χ-Hilfer fractional derivative
Online Access:	Open Access: DOAB: description of the publication Open Access: DOAB, download the publication

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Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

Advances in Fractional Differential Operators and Their Applications

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