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Some results for initial value problem of nonlinear fractional equation in Sobolev space
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2021-01-21 , DOI: 10.1007/s12190-021-01500-5 Djalal Boucenna , Ali Boulfoul , Amar Chidouh , Abdellatif Ben Makhlouf , Brahim Tellab
中文翻译:
Sobolev空间中非线性分数方程初值问题的一些结果。
更新日期:2021-01-21
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2021-01-21 , DOI: 10.1007/s12190-021-01500-5 Djalal Boucenna , Ali Boulfoul , Amar Chidouh , Abdellatif Ben Makhlouf , Brahim Tellab
This paper focuses on the existence and uniqueness of solutions for certain types of fractional differential equations involving Riemann–Liouville derivative. The main results are obtained by some fixed point theorems in Sobolev space.
中文翻译:
Sobolev空间中非线性分数方程初值问题的一些结果。
本文关注于涉及Riemann-Liouville导数的某些类型的分数阶微分方程解的存在性和唯一性。主要结果是通过Sobolev空间中的一些不动点定理获得的。