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