Study of time fractional proportional delayed multi‐pantograph system and integro‐differential equations
DOI10.1002/mma.8335OpenAlexW4229031777MaRDI QIDQ6066348
Brajesh Kumar Singh, Saloni Agrawal
Publication date: 12 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8335
fractional differential transform methodfractional derivative of Caputo typefractional-order proportional delayed integro-differential equationsmulti-pantograph system of differential equations of fractional order
Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Cites Work
- Unnamed Item
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- Modeling plant virus propagation with delays
- Approximation algorithm for a system of pantograph equations
- Uniqueness and existence of positive solutions for the fractional integro-differential equation
- Solution of fractional integro-differential equations by using fractional differential transform method
- Delay differential equations: with applications in population dynamics
- Dynamical models of happiness with fractional order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Pantograph and catenary dynamics: A benchmark problem and its numerical solution
- Fractional variational iteration method for solving fractional partial differential equations with proportional delay
- Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays
- An optimal method for approximating the delay differential equations of noninteger order
- Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
- Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
- Generalized Adams method for solving fractional delay differential equations
- A new approximation of conformable time fractional partial differential equations with proportional delay
- An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis
- On Hopf bifurcation in fractional dynamical systems
- On solving systems of multi-pantograph equations via spectral tau method
- Existence of solutions of nonlinear fractional pantograph equations
- Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
- An iterated pseudospectral method for delay partial differential equations
- Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay
- Solutions of delay differential equations by using differential transform method
- Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
- Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations
- On the convergence of Jacobi‐Gauss collocation method for linear fractional delay differential equations
- Interaction of maturation delay and nonlinear birth in population and epidemic models
