New Analytic Approach of Mild Solution for General Formula of Extensible Beam Model Equation

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Hasan, Sameer Qasim^1 ; Jabbar, Ali Kadhim^1

Department of Mathematics, Al-Mustansiriyah University, Baghdad, Iraq^1

关键词: Analytic approach;    Beam equation;    Beam model;    Fractional-order differential equations;    General formulas;    Mild solution;    Nonlinear functions;    Positive integers;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012022/pdf
DOI  :  10.1088/1757-899X/571/1/012022

来源: IOP

【 摘 要 】

In this paper. The generalized of extensible beam equation such that this equation is a special case where α is ordinary positive integer number and the nonlinear function is more general of the nonlinear function of beam equation and since the solvability of this equation is difficult some time. So, we turned to fractional order differential equation to use the nonlinear factional analyses to check the solvability exist.