New theories and applications of tempered fractional differential equations

DOI10.1007/s11071-021-06628-4zbMATH Open1537.34017MaRDI QIDQ6547439

Nazek Ahmad Obeidat, Daniel E. Bentil

Publication date: 30 May 2024

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

fractional calculusCaputo derivativeRiemann-Liouville derivativenatural transformtempered fractional differential equation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear integral equations (45A05) Fractional ordinary differential equations (34A08) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Related Items (7)

Implicit Caputo tempered fractional differential boundary value problems with infinite delay in Banach spaces ⋮ On periodic solutions for implicit nonlinear Caputo tempered fractional differential problems ⋮ New class of nonlinear fractional integro-differential equations with theoretical analysis via fixed point approach: numerical and exact solutions ⋮ On implicit neutral Caputo tempered fractional differential equations with retarded and advanced arguments ⋮ A new efficient transform mechanism with convergence analysis of the space-fractional telegraph equations ⋮ Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations ⋮ On implicit neutral Caputo tempered fractional differential equations with delay

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