Existence and numerical analysis using Haar wavelet for fourth-order multi-term fractional differential equations

DOI10.1007/s40314-022-02041-8OpenAlexW4298000316WikidataQ115373145 ScholiaQ115373145MaRDI QIDQ2085029

Rohul Amin, Nabil Mlaiki, Arshad Hussain, Şuayip Yüzbaşı, Kamal Shah, Thabet Abdeljawad

Publication date: 14 October 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02041-8

zbMATH Keywords

fractional calculusnumerical approximationHaar waveletGauss elimination methodfixed-point theory

Mathematics Subject Classification ID

Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials ⋮ Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new difference scheme for the time fractional diffusion equation
• Collocation methods for fractional integro-differential equations with weakly singular kernels
• Solving fractional integral equations by the Haar wavelet method
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Recent applications of fractional calculus to science and engineering
• Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line
• Long time numerical behaviors of fractional pantograph equations
• An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
• A new collection of real world applications of fractional calculus in science and engineering
• Application of the collocation method for solving nonlinear fractional integro-differential equations
• Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet
• Stability analysis of nonlinear Hadamard fractional differential system
• Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
• Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
• Numerical solution of semidifferential equations by collocation method
• A numerical method for fractional pantograph delay integro-differential equations on Haar wavelet
• Quasi-wavelet method for time-dependent fractional partial differential equation
• Biorthogonal wavelets on the spectrum
• Fibonacci wavelet method for solving Pennes bioheat transfer equation
• Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory
• A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order
• Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system

This page was built for publication: Existence and numerical analysis using Haar wavelet for fourth-order multi-term fractional differential equations