On Caputo–Hadamard fractional differential equations

DOI10.1080/00207160.2019.1626012OpenAlexW2948463408MaRDI QIDQ5030617

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Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1626012

zbMATH Keywords

predictor-corrector methodEuler methodexistence and uniquenesscontinuation theoremfractional differential equationCaputo-Hadamard derivative

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Fractional ordinary differential equations (34A08)

Related Items (26)

Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations ⋮ HADAMARD FRACTIONAL CALCULUS ON TIME SCALES ⋮ On Caputo-Hadamard uncertain fractional differential equations ⋮ Stability for coupled systems on networks with Caputo-Hadamard fractional derivative ⋮ A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations ⋮ Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems ⋮ Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ Efficient numerical algorithms of time fractional telegraph‐type equations involving Hadamard derivatives ⋮ Analysis of neutral fractional differential equation via the method of upper and lower solution ⋮ Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations ⋮ Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations ⋮ Two regularization methods for identifying the source term of Caputo–Hadamard time‐fractional diffusion equation ⋮ High-order schemes based on extrapolation for semilinear fractional differential equation ⋮ Unconditionally stable and convergent difference scheme for superdiffusion with extrapolation ⋮ A method for solving Caputo–Hadamard fractional initial and boundary value problems ⋮ Finite difference methods for Caputo-Hadamard fractional differential equations ⋮ Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation ⋮ Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case ⋮ Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function ⋮ Fractional calculus with exponential memory ⋮ Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems ⋮ Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative ⋮ Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations ⋮ Some Simpson type fractional integral inequalities for functions of bounded variation

Cites Work

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• A new predictor-corrector method for fractional differential equations
• Caputo-type modification of the Hadamard fractional derivatives
• Hadamard-type fractional integrals and derivatives and differential equations of fractional order
• On the fractional Adams method
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• An algorithm for the numerical solution of differential equations of fractional order
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
• Algorithms for the fractional calculus: a selection of numerical methods
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Hadamard-type integrals as G-transforms
• Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis
• The Finite Difference Methods for Fractional Ordinary Differential Equations
• Fractional differentiation matrices with applications
• Advances in Fractional Calculus
• ON HADAMARD FRACTIONAL CALCULUS
• Analysis of fractional differential equations

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