Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space

DOI10.1007/s40314-020-01322-4zbMath1474.65503OpenAlexW3086658947MaRDI QIDQ827378

Khosrow Maleknejad, Tahereh Eftekhari, Jalil Rashidinia

Publication date: 7 January 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01322-4

zbMATH Keywords

convergence analysiscollocation methodBanach spaceexistence and uniquenessoperational matriceshybrid functionstwo-dimensional nonlinear fractional Volterra and Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fredholm integral equations (45B05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (9)

Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space ⋮ A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets ⋮ A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order ⋮ A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations ⋮ Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach ⋮ Existence of solutions for 2D nonlinear fractional Volterra integral equations in Banach space ⋮ Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method ⋮ Unnamed Item ⋮ Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations

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