Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative

被引：23
作者：
Kucche, Kishor D. [1 ]
Mali, Ashwini D. [1 ]
机构：
[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 01期
关键词：
Generalized Hilfer fractional derivative; Quasilinearization method; Initial time difference; Comparison theorems; STABILITY; SYSTEM;
D O I：
10.1007/s40314-019-1004-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We build the quasilinearization method with initial time difference for nonlinear fractional differential equations (FDEs) involving generalized Hilfer fractional derivative under various conditions on the nonlinear function involved in the right hand side of the equation. An essential comparison result concerning lower and upper solutions is obtained for this generalized FDEs without demanding the Holder continuity assumption.
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页数：33
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