Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense
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Publication:2143095
DOI10.1016/j.apnum.2022.02.006zbMath1504.65162OpenAlexW4211244194WikidataQ112880275 ScholiaQ112880275MaRDI QIDQ2143095
Publication date: 30 May 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.02.006
operational matrixshifted Legendre polynomialsHilfer fractional derivativefractal operatorsfractal-fractional order differential problems
Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Related Items (3)
A new numerical approach for the analysis of variable fractal and fractional order differential equations ⋮ A highly accurate artificial neural networks scheme for solving higher multi‐order fractal‐fractional differential equations based on generalized Caputo derivative ⋮ Existence, uniqueness, and controllability for Hilfer differential equations on times scales
Cites Work
- Unnamed Item
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- Existence and uniqueness for a problem involving hilfer fractional derivative
- Application of Legendre wavelets for solving fractional differential equations
- On Caputo modification of the Hadamard fractional derivatives
- A transformation method for delta partial difference equations on discrete time scale
- A new operational matrix for solving fractional-order differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On solutions of fractional Riccati differential equations
- A new operational matrix of fractional derivatives to solve systems of fractional differential equations via Legendre wavelets
- Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
- Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
- A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
- Reproducing kernel method for fractional Riccati differential equations
- Fractional differential equations of Caputo-Katugampola type and numerical solutions
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution
- S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
- Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance
- A new integral operational matrix with applications to multi-order fractional differential equations
- Fractional discrete-time diffusion equation with uncertainty: applications of fuzzy discrete fractional calculus
- Collocation methods for terminal value problems of tempered fractional differential equations
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions
- A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
- Solving systems of fractional differential equations using differential transform method
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
- An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative
- Computational method based on Bernstein operational matrices for multi-order fractional differential equations
- Time-fractional derivatives in relaxation processes: a tutorial survey
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- NUMERICAL TREATMENT OF THE SPACE–TIME FRACTAL–FRACTIONAL MODEL OF NONLINEAR ADVECTION–DIFFUSION–REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS
- ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL
- A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives
- Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
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