An operational matrix technique based on Chebyshev polynomials for solving mixed Volterra-Fredholm delay integro-differential equations of variable-order
From MaRDI portal
Publication:2138142
DOI10.1155/2022/6203440zbMath1490.65320OpenAlexW4223444408WikidataQ115243469 ScholiaQ115243469MaRDI QIDQ2138142
Khalid K. Ali, Jihad Younis, Mohamed A. Abd El Salam, Kamal R. Raslan, Emad M. H. Mohamed
Publication date: 11 May 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/6203440
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05) Functional-differential equations with fractional derivatives (34K37)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution for the variable order linear cable equation with Bernstein polynomials
- An operational matrix technique for solving variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials
- Numerical algorithm for the variable-order Caputo fractional functional differential equation
- Fractional integration and differentiation of variable order: an overview
- Numerical techniques for the variable-order time fractional diffusion equation
- Synthesis of multifractional Gaussian noises based on variable-order fractional operators
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- A graphic stability criterion for non-commensurate fractional-order time-delay systems
- Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
- A new collocation method for solution of mixed linear integro-differential-difference equations
- Operator of fractional derivative in the complex plane
- Jacobi collocation approximation for solving multi-dimensional Volterra integral equations
- Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials
- Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation
- A numerical approach for multi-variable orders differential equations using Jacobi polynomials
- An operational matrix of fractional differentiation of the second kind of Chebyshev polynomial for solving multiterm variable order fractional differential equation
- Hopf bifurcation for a class of fractional differential equations with delay
- On spectral methods for solving variable-order fractional integro-differential equations
- A new computational method based on optimization scheme for solving variable-order time fractional Burgers' equation
- Derivation, interpretation, and analog modelling of fractional variable order derivative definition
- Some qualitative analyses of neutral functional delay differential equation with generalized Caputo operator
- Fractional calculus, zeta functions and Shannon entropy
- A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
- Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
- Representation of solutions of nonhomogeneous conformable fractional delay differential equations
- The role of power decay, exponential decay and Mittag-Leffler function's waiting time distribution: application of cancer spread
- A new approach for solving integro-differential equations of variable order
- An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
- Caputo derivatives of fractional variable order: numerical approximations
- Third-order neutral delay differential equations: new iterative criteria for oscillation
- A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- Riemann zeta fractional derivative-functional equation and link with primes
- A spectral collocation method for nonlinear fractional initial value problems with a variable-order fractional derivative
- Spectral Tau method for solving general fractional order differential equations with linear functional argument
- 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
- General Fractional Derivatives
- Integration and differentiation to a variable fractional order
- Fractional Variational Calculus of Variable Order
- A variable order constitutive relation for viscoelasticity
- Applications in Engineering, Life and Social Sciences, Part B
