Computational techniques for solving mixed (1+ 1) dimensional integral equations with strongly symmetric singular kernel

SE Alhazmi, AMS Mahdy, MA Abdou, DS Mohamed - Symmetry, 2023 - mdpi.com
This paper describes an effective strategy based on Lerch polynomial method for solving
mixed integral equations (MIE) in position and time with a strongly symmetric singular kernel …

Qualitative analysis for solving a fractional integro-differential equation of hyperbolic type with numerical treatment using the Lerch matrix collocation method

RE Alsulaiman, MA Abdou, MM ElBorai… - Fractal and …, 2023 - mdpi.com
In this research, we present a qualitative analysis for studying a new modification of a
nonlinear hyperbolic fractional integro-differential equation (NHFIDEq) in dual Banach …

[PDF][PDF] Application of Lerch polynomials to approximate solution of singular Fredholm integral equations with Cauchy kernel

DS Mohamed - Appl. Math. Inf. Sci, 2022 - naturalspublishing.com
Integral equations play an important role in many branches of modern mathematics and
appear in various applications, including fluid mechanics, engineering, contact problems in …