A BOUNDARY VALUE PROBLEM WITH IMPULSIVE EFFECTS AND RIEMANN-LIOUVILLE TEMPERED FRACTIONAL DERIVATIVES

被引：1

作者：

Gutierrez, Hernan A. Cuti ^{[1
]}

Nyamoradi, Nemat ^{[2
]}

Ledesma, Cesar E. Torres ^{[1
]}

机构：

[1] Univ Nacl Trujillo, Inst Invest Matemat, FCA Res Grp, FCFYM,Dept Matemat, Ave Juan Pablo II S-N, Trujillo 13006, Peru

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 06期

关键词：

Riemann-Liouville and Caputo tempered fractional derivatives; impulsive effects; tempered fractional space of Sobolev type; variational meth- ods; HAMILTONIAN-SYSTEMS; EXISTENCE;

D O I：

10.11948/20240068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a fractional impulsive differential equation with mixed tempered fractional derivatives. We justify some fundamental properties in the variational structure to fractional impulsive differential equations with the tempered fractional derivative operator. Finally, we study the existence of weak solutions with critical point theory and variational methods for the proposed problem. To prove the effectiveness of our main result, we investigate an interesting example.

引用

页码：3496 / 3519

页数：24

共 50 条

[21] Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem
Zhang, Keyu
Sun, Qian
O'Regan, Donal
Xu, Jiafa
AIMS MATHEMATICS, 2024, 9 (05): : 10911 - 10925
[22] Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions
Passary, Donny
Ntouyas, Sotiris K.
Tariboon, Jessada
AIMS MATHEMATICS, 2024, 9 (01): : 218 - 239
[23] RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL BOUNDARY CONDITIONS
Ahmad, Bashir
Nieto, Juan J.
FIXED POINT THEORY, 2012, 13 (02): : 329 - 336
[24] Boundary value problem with tempered fractional derivatives and oscillating term
Ledesma, Cesar E. Torres
Cuti, Hernan
Rodriguez, Jesus Avalos
Bonilla, Manuel Montalvo
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
[25] Boundary value problem with tempered fractional derivatives and oscillating term
César E. Torres Ledesma
Hernán Cuti
Jesús Ávalos Rodríguez
Manuel Montalvo Bonilla
Journal of Pseudo-Differential Operators and Applications, 2023, 14
[26] A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems
Graef, John R.
Kong, Lingju
Wang, Min
APPLIED MATHEMATICS AND COMPUTATION, 2014, 241 : 140 - 150
[27] Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions
Liu, Zhenhai
Bin, Maojun
ABSTRACT AND APPLIED ANALYSIS, 2013,
[28] POSITIVE SOLUTIONS FOR SUPERLINEAR RIEMANN-LIOUVILLE FRACTIONAL BOUNDARY-VALUE PROBLEMS
Bachar, Imed
Maagli, Habib
Radulescu, Vicentiu D.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[29] Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
Wei, Zhongli
Dong, Wei
Che, Junling
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (10) : 3232 - 3238
[30] Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions
Ntouyas, Sotiris K.
Tariboon, Jessada
Thaiprayoon, Chatthai
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (01): : 91 - 107

← 1 2 3 4 5 →