THEORETICAL AND COMPUTATIONAL RESULTS FOR MIXED TYPE VOLTERRA–FREDHOLM FRACTIONAL INTEGRAL EQUATIONS
DOI10.1142/S0218348X22400357zbMath1483.65209OpenAlexW3210206945MaRDI QIDQ5062415
Anwar Zeb, Hussam Alrabaiah, Ibrahim Mahariq, Rohul Amin
Publication date: 15 March 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22400357
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Fractional ordinary differential equations (34A08)
Cites Work
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- The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind
- Analysis of Abel-type nonlinear integral equations with weakly singular kernels
- Existence and numerical solution of the Volterra fractional integral equations of the second kind
- Existence results for fractional neutral integro-differential equations with state-dependent delay
- Solving fractional integral equations by the Haar wavelet method
- Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
- Existence results for fractional order semilinear integro-differential evolution equations with infinite delay
- Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An iterative numerical method for fractional integral equations of the second kind
- Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
- On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
- A computational approach for solving fractional integral equations based on Legendre collocation method
- An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
- Explicit bounds derived by some new inequalities and applications in fractional integral equations
- Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet
- Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
- Variational iteration method for fractional calculus -- a universal approach by Laplace transform
- The numerical solution of first order delay integro-differential equations by spline functions
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- An Existence Theorem for Abel Integral Equations
- The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
- Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations
- The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method
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