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

被引：0

作者：

Kishor D. Kucche

Ashwini D. Mali

机构：

[1] Shivaji University,Department of Mathematics

来源：

Computational and Applied Mathematics | 2020年 / 39卷

关键词：

Generalized Hilfer fractional derivative; Quasilinearization method; Initial time difference; Comparison theorems; 26A33; 34A12; 34A45; 34C11; 34A40;

D O I：

暂无

中图分类号：

学科分类号：

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 Hölder continuity assumption.

引用

共 50 条

[1] Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative
Kucche, Kishor D.
Mali, Ashwini D.
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (01):
[2] Initial time difference quasilinearization for Caputo Fractional Differential Equations
Ali Yakar
Advances in Difference Equations, 2012
[3] Initial time difference quasilinearization for Caputo Fractional Differential Equations
Yakar, Ali
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[4] Fractional Integro-Differential Equations Involving ψ-Hilfer Fractional Derivative
Abdo, Mohammed S.
Panchal, Satish K.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (02) : 338 - 359
[5] Fractional differential equations with a ψ-Hilfer fractional derivative
Abdelhedi, Wael
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
[6] Generalized quasilinearization for fractional differential equations
Devi, J. Vasundhara
McRae, F. A.
Drici, Z.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1057 - 1062
[7] EXISTENCE AND STABILITY RESULTS TO A CLASS OF FRACTIONAL RANDOM IMPLICIT DIFFERENTIAL EQUATIONS INVOLVING A GENERALIZED HILFER FRACTIONAL DERIVATIVE
Jarad, Fahd
Harikrishnan, Sugumaran
Shah, Kamal
Kanagarajan, Kuppusamy
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 723 - 739
[8] Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
Dhawan, Kanika
Vats, Ramesh Kumar
Agarwal, Ravi P.
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2022, 30 (01): : 191 - 217
[9] On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
Tran, Minh Duc
Ho, Vu
Van, Hoa Ngo
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[10] Nonlocal initial value problems for differential equations with Hilfer fractional derivative
Wang, JinRong
Zhang, Yuruo
APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 850 - 859

← 1 2 3 4 5 →