An Investigation on Existence, Uniqueness, and Approximate Solutions for Two-Dimensional Nonlinear Fractional Integro-Differential Equations
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- Najafalizadeh, S. & Ezzati, R., 2016. "Numerical methods for solving two-dimensional nonlinear integral equations of fractional order by using two-dimensional block pulse operational matrix," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 46-56.
- Maleknejad, Khosrow & Rashidinia, Jalil & Eftekhari, Tahereh, 2018. "Numerical solution of three-dimensional Volterra–Fredholm integral equations of the first and second kinds based on Bernstein’s approximation," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 272-285.
- Mirzaee, Farshid & Samadyar, Nasrin, 2019. "Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 344, pages 191-203.
- Hesameddini, Esmail & Shahbazi, Mehdi, 2018. "Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 40-54.
- Abdon Atangana & Adem Kilicman, 2013. "Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, April.
- Abdon Atangana & Adem Kılıçman, 2013. "A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, April.
- Eftekhari, Tahereh & Rashidinia, Jalil, 2022. "A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise," Applied Mathematics and Computation, Elsevier, vol. 429(C).
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Keywords
the mixed Riemann–Liouville integral; fixed-point theorems; shifted Jacobi polynomials; operational matrices; collocation method; error bound;All these keywords.
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