Existence and Iterative Method for Some Riemann Fractional Nonlinear Boundary Value Problems

Mathematics

Habib Mâagli¹  Hassan Eltayeb²  Imed Bachar² 

[1] Department of Mathematics, College of Sciences and Arts, King Abdulaziz University, Rabigh Campus, P.O. Box 344, Rabigh 21911, Saudi Arabia;Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;

关键词: fractional differential equation;    green’s function;    existence and uniqueness of solution;    positivity of solution;    iterative method;   

DOI  :  10.3390/math7100961

来源: DOAJ

【 摘 要 】

In this paper, we prove the existence and uniqueness of solution for some Riemann−Liouville fractional nonlinear boundary value problems. The positivity of the solution and the monotony of iterations are also considered. Some examples are presented to illustrate the main results. Our results generalize those obtained by Wei et al., (Existence and iterative method for some fourth order nonlinear boundary value problems. Appl. Math. Lett. 2019, 87, 101−107.) to the fractional setting.

【 授权许可】

Unknown