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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Μορφή:	Online
Γλώσσα:	Αγγλικά
Έκδοση:	MDPI - Multidisciplinary Digital Publishing Institute 2023
Θέματα:	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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science
Διαθέσιμο Online:	ONIX_20231130_9783036589046_15
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Περιγραφή
Περίληψη:	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, distributed delays, Fornberg–Whitham equations, abstract evolution and fractional wave equations, cantilever beams, and fractional Riccati and Volterra equations, as well as fractional visco-elasto-plasticity, spectral theory for fractional Sturm–Liouville problems, generalized differential equations, Mittag–Leffler functions, and fractional Laplacians.

Advances in Fractional Differential Operators and Their Applications

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