On analytical solution of time-fractional biological population model by means of generalized integral transform with their uniqueness and convergence analysis
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Publication:2670288
DOI10.1155/2022/7021288zbMath1485.35100OpenAlexW4214626934MaRDI QIDQ2670288
Rehana Ashraf, Ebenezer Bonyah, Saima Rashid
Publication date: 10 March 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/7021288
Population dynamics (general) (92D25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)
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Cites Work
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- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Numerical solution of a biological population model using He's variational iteration method
- A note on the homotopy analysis method
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- On the diffusion of biological populations
- Modified Adomian polynomials
- Hölder estimates of solutions of biological population equations
- Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations
- Homotopy perturbation technique
- Numerical solutions of certain new models of the time-fractional Gray-Scott
- Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering
- The intrinsic structure and properties of Laplace-typed integral transforms
- Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation
- Application of Adomian decomposition method to nonlinear systems
- Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel
- Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control
- Numerical simulation of the fractal-fractional reaction diffusion equations with general nonlinear
- New general integral transform via Atangana-Baleanu derivatives
- A new integral transform for solving higher order linear ordinary Laguerre and Hermite differential equations
- Convergence of the Adomian method applied to a class of nonlinear integral equations
- Sumudu transform: a new integral transform to solve differential equations and control engineering problems
- Global dynamics of a fractional-order SIR epidemic model with memory
- New models of fractional blood ethanol and two‐cell cubic autocatalator reaction equations
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