Well-posedness and numerical approximation of tempered fractional terminal value problems
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Publication:1677976
DOI10.1515/fca-2017-0065zbMath1377.65083arXiv1705.03969OpenAlexW2962810790MaRDI QIDQ1677976
Maria Luísa Morgado, Magda Rebelo
Publication date: 14 November 2017
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03969
numerical examplesshooting methodCaputo derivativeterminal value problemtempered fractional derivatives
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items (21)
Terminal value problems for the nonlinear systems of fractional differential equations ⋮ Second-order numerical methods for the tempered fractional diffusion equations ⋮ MITTAG-LEFFLER STABILITY ANALYSIS OF TEMPERED FRACTIONAL NEURAL NETWORKS WITH SHORT MEMORY AND VARIABLE-ORDER ⋮ On discrete tempered fractional calculus and its application ⋮ Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis ⋮ Collocation methods for terminal value problems of tempered fractional differential equations ⋮ A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients ⋮ Numerical schemes for a class of tempered fractional integro-differential equations ⋮ Stability analysis of tempered fractional nonlinear Mathieu type equation model of an ion motion with octopole‐only imperfections ⋮ On tempered fractional calculus with respect to functions and the associated fractional differential equations ⋮ High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application. II. ⋮ Intermediate value problems for fractional differential equations ⋮ Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems ⋮ Generalized substantial fractional operators and well-posedness of Cauchy problem ⋮ Spectral collocation method for nonlinear Riemann-Liouville fractional terminal value problems ⋮ Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays ⋮ Spectral collocation method for Caputo fractional terminal value problems ⋮ An inverse problem approach to determine possible memory length of fractional differential equations ⋮ DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE ⋮ A high-order algorithm for time-Caputo-tempered partial differential equation with Riesz derivatives in two spatial dimensions ⋮ On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations
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- Detailed error analysis for a fractional Adams method
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- Well-posedness and numerical algorithm for the tempered fractional differential equations
- Fundamental solution of the tempered fractional diffusion equation
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