A Physical Phenomenon for the Fractional Nonlinear Mixed Integro-Differential Equation Using a Quadrature Nystrom Method

• Published in: Fractal and fractional Vol. 7; no. 9; p. 656
• Main Authors: Jan, A. R., Abdou, M. A., Basseem, M.
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.09.2023
• Subjects: Banach spaces; Calculus; Differential equations; discontinuous kernel; Fractional calculus; fractional nonlinear (linear) integro-differential equation; Integral equations; Kernels; Mathematical analysis; Methods; nonlinear algebraic system; Nystrom method; Quadratures; the rate of convergence error

In this work, the existence and uniqueness solution of the fractional nonlinear mixed integro-differential equation (FrNMIoDE) is guaranteed with a general discontinuous kernel based on position and time-space  L2Ω×C0,T, T<1. The FrNMIoDE conformed to the Volterra-Hammerstein integral equation (V...