Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

DOI10.1186/S13662-021-03588-2zbMath1494.34034OpenAlexW3202096241WikidataQ115241170 ScholiaQ115241170MaRDI QIDQ2167198

Yanyan Li

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03588-2

zbMATH Keywords

convergence analysisnonlinear integro-differential equationsoperational matrixvariable ordershifted fifth-kind Chebyshev polynomials

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Classical operational calculus (44A45)

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Cites Work

• Unnamed Item
• A high order numerical scheme for variable order fractional ordinary differential equation
• Numerical techniques for the variable-order time fractional diffusion equation
• A new numerical method for variable order fractional functional differential equations
• Affine-periodic solutions for nonlinear dynamic equations on time scales
• The variable-order fractional calculus of variations
• Simplifying biochemical tumorous bone remodeling models through variable order derivatives
• Variable order and distributed order fractional operators
• Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
• Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
• Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
• A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
• A discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spaces
• On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
• An accurate and reliable mathematical analytic solution procedure for the EOQ model with non-instantaneous receipt under supplier credits
• Control of damping oscillations by fractional differential operator with time-dependent order
• Operational Matrix Method for Solving Variable OrderFractional Integro-differential Equations
• Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
• The variable viscoelasticity oscillator
• Integration and differentiation to a variable fractional order
• A variable order constitutive relation for viscoelasticity
• A new approach by two‐dimensional wavelets operational matrix method for solving variable‐order fractional partial integro‐differential equations

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