-
Article
New contributions to a complex system of quadratic heat equations with a generalized kernels: global solutions
In this work, we propose new contributions to a complex system of quadratic heat equations with a generalized kernel of the form: $$\partial _...
-
Article
On the energy decay of a nonlinear time-fractional Euler–Bernoulli beam problem including time-delay: theoretical treatment and numerical solution techniques
In this work, an extended Euler–Bernoulli beam equation is addressed, where numerous phenomena are covered including dam**, time-delay, and nonlinear source effects. A generalized fractional derivative is us...
-
Article
Airfoil Collocation Method Employing a New Efficient Procedure for Solving System of Two Logarithmic Integro–Differential Equations
In this study, we present the airfoil collocation approach employing a new efficient procedure for approximating the solution of a system of two logarithmic integro-differential equations. We demonstrate the e...
-
Article
A new recursive scheme for solving a fractional differential equation of ray tracing through the crystalline lens
The goal of this work is to solve an initial-value problem for a fractional differential equation that governs the ray tracing through a crystalline lens using an interesting variation of the Adomian decomposi...
-
Article
A New Procedures for Solving Two Classes of Fuzzy Singular Integro-Differential Equations: Airfoil Collocation Methods
This paper gives and justifies a practical approach for solving fuzzy singular integro-differential equations. First, by using different techniques, we show that solutions to two types of fuzzy singular integr...
-
Chapter and Conference Paper
Collocation Method to Solve Second Order Cauchy Integro-Differential Equations
In this paper, we present a collocation method for solving the following second-order Cauchy integro-differential equation $$\begin{aligned} x...
-
Article
Open AccessDiscrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods
Three main contributions are presented in this paper. First, the septic quasi-interpolants are calculated with all their coefficients. Second, we explore the results to solve a generalized and broad class of F...
