A study of mixed Hadamard and Riemann-Liouville fractional integro-differential inclusions via endpoint theory

被引:45
|
作者
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Tariboon, Jessada [3 ]
机构
[1] King Abdulaziz Univ, Dept Math, Fac Sci, NAAM Res Grp, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
关键词
Hadamard derivative; Riemann-Liouville fractional integral; Inclusions; Endpoint theory; DERIVATIVES; PARAMETERS; SYSTEMS; ORDER;
D O I
10.1016/j.aml.2015.08.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the existence of solutions for a mixed initial value problem of Hadamard and Riemann-Liouville fractional integro-differential inclusions by means of endpoint theory. The main result is well illustrated with the aid of example. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:9 / 14
页数:6
相关论文
共 50 条
  • [31] EXISTENCE RESULTS FOR RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION INCLUSIONS
    Huang, Yong
    Lv, Jingyun
    Liu, Zhenhai
    [J]. MISKOLC MATHEMATICAL NOTES, 2016, 17 (01) : 305 - 325
  • [32] Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals
    Kara, Hasan
    Ali, Muhammad Aamir
    Budak, Huseyin
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (06) : 2193 - 2207
  • [33] Systems of fractional Langevin equations of Riemann-Liouville and Hadamard types
    Sudsutad, Weerawat
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [34] Systems of fractional Langevin equations of Riemann-Liouville and Hadamard types
    Weerawat Sudsutad
    Sotiris K Ntouyas
    Jessada Tariboon
    [J]. Advances in Difference Equations, 2015
  • [35] HERMITE-HADAMARD TYPE INEQUALITIES OBTAINED VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS
    Mihai, M. V.
    Mitroi, F-C.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2014, 83 (02): : 209 - 215
  • [36] SOME HERMITE-HADAMARD TYPE INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS
    Mihai, Marcela V.
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (04): : 411 - 416
  • [37] Sequential Riemann-Liouville and Hadamard-Caputo Fractional Differential Equation with Iterated Fractional Integrals Conditions
    Ntouyas, Sotiris K.
    Sitho, Surang
    Khoployklang, Teerasak
    Tariboon, Jessada
    [J]. AXIOMS, 2021, 10 (04)
  • [38] Study on Fractional Differential Equations with Modified Riemann-Liouville Derivative via Kudryashov Method
    Aksoy, Esin
    Bekir, Ahmet
    Cevikel, Adem C.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (05) : 511 - 516
  • [39] BOUNDARY-VALUE PROBLEMS FOR RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES
    Hamani, Samira
    Henderson, Johnny
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [40] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL RIEMANN-LIOUVILLE INTEGRAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris
    [J]. MATHEMATICA BOHEMICA, 2014, 139 (03): : 451 - 465