Existence and numerical solution of the Volterra fractional integral equations of the second kind

zbMath1299.45001MaRDI QIDQ474355

Abdon Atangana, Necdet Bıldık

Publication date: 24 November 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Volterra integral equations (45D05)

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Neumann method for solving conformable fractional Volterra integral equations ⋮ THEORETICAL AND COMPUTATIONAL RESULTS FOR MIXED TYPE VOLTERRA–FREDHOLM FRACTIONAL INTEGRAL EQUATIONS ⋮ A computational approach for solving fractional integral equations based on Legendre collocation method ⋮ An existence result with numerical solution of nonlinear fractional integral equations ⋮ Existence and approximate solutions for Hadamard fractional integral equations in a Banach space ⋮ A novel analytical technique to obtain kink solutions for higher order nonlinear fractional evolution equations ⋮ Numerical Analysis of Fractional Order Integral Dynamical Models with Piecewise Continuous Kernels ⋮ An iterative numerical method for fractional integral equations of the second kind ⋮ On the generalized method of lines applied to Ginzburg-Landau type equations ⋮ Numerical techniques for solving linear Volterra fractional integral equation ⋮ Bernstein polynomials based iterative method for solving fractional integral equations

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