Fractional Differential Equations

In recent times, researchers across various fields have become interested in the topic of fractional calculus based on integrals and derivatives of fractional order. This area has numerous and widespread applications in fields of science and engineering, including wave and fluid dynamics, mathematic...

Descripció completa

Guardat en:

Dades bibliogràfiques
Format:	Online
Idioma:	anglès
Publicat:	MDPI - Multidisciplinary Digital Publishing Institute 2025
Matèries:	smoking model Caputo fractional derivatives existence and uniqueness smoking-free equilibrium basic reproduction number numerical simulation FPDEs mEDAM variable transformation NODE kink waves lump waves Caputo fractional derivative memory effect supercritical Hopf bifurcation Neimark–Sacker bifurcation period-doubling bifurcation Müntz–Legendre wavelets wavelet collocation method weakly singular integral equation fractional differential equation fixed point theorem fractional order integro-differential RLC circuit Hilfer fractional derivative non-local boundary conditions Adomian decomposition method homotopy perturbation method Yang transform time-fractional coupled KdV equation Caputo operator constrained problem functional integro-differential equation fractional order Schauder fixed-point theorem continuous dependence meshless method radial basis functions FitzHugh–Nagumo equation stability Helmholtz equation multilayered membrane fractional order infusion composite media vibration Bessel equation Hölder’s inequality well-posedness pth moment ϕ-Hilfer fractional operator stochastic differential equation fractional differential equations infinite delay fixed-point theorem Hyers–Ulam stability cardinal functions pseudospectral method Legendre polynomials fractional partial differential equations convergence fractional model with vaccination stability analysis Lyapunov function dulac criteria Elzaki transform Shehu transform adomian decomposition method fractional vibration equation fractional integro-differential equations error convergence general singular kernel nonlinear mixed integral equation Toeplitz matrix method Fisher’s equation time-fractional equation residual power series Laplace residual power series fractional series expansion time-fractional diffusion equation (TFDE) NL2 scheme H1-norm stability thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science
Accés en línia:	ONIX_20250812T110751_9783725847419_600
Etiquetes:	Afegir etiqueta Sense etiquetes, Sigues el primer a etiquetar aquest registre!

Descripció
Sumari:	In recent times, researchers across various fields have become interested in the topic of fractional calculus based on integrals and derivatives of fractional order. This area has numerous and widespread applications in fields of science and engineering, including wave and fluid dynamics, mathematical biology, financial systems, structural dynamics, robotics, and artificial intelligence, among others. Therefore, fractional models have become relevant in the context of phenomena with memory effects, in place of the conventional reliance on ordinary or partial differential equations. Fractional calculus offers superior tools for addressing time-dependent effects compared to integer-order calculus, which forms the foundation of most mathematical systems. As a result, fractional calculus is crucial to modeling real-life problems, and finding mathematical solutions is a great challenge in this regard.

Fractional Differential Equations

Ítems similars