A new numerical approach for the analysis of variable fractal and fractional order differential equations
DOI10.1007/s40819-022-01384-4OpenAlexW4289667634WikidataQ115371931 ScholiaQ115371931MaRDI QIDQ2170957
Publication date: 8 September 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01384-4
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractals (28A80) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Cites Work
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- Homotopy perturbation method to space-time fractional solidification in a finite slab
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Irving-Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel
- On the solution of local fractional differential equations using local fractional Laplace variational iteration method
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets
- Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense
- Differential and integral operators with constant fractional order and variable fractional dimension
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
- Some theorems on Cauchy problem for nonlinear fractional differential equations with positive constant coefficient
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- Analytical solutions for the fractional nonlinear cable equation using a modified homotopy perturbation and separation of variables methods
- An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative
- Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation
- Convergent optimal variational iteration method and applications to heat and fluid flow problems
- Mechanics with variable-order differential operators
- Integration and differentiation to a variable fractional order
- Ideas of Calculus in Islam and India
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