Study of a sequential ?-Hilfer fractional integro-differential equations with nonlocal BCs

被引：0
|
作者：
Haddouchi, Faouzi [1 ,2 ]
Samei, Mohammad Esmael [3 ]
Rezapour, Shahram [4 ,5 ,6 ]
机构：
[1] Univ Sci & Technol Oran MB, Dept Phys, Oran, Algeria
[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria
[3] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 6517838695, Hamadan, Iran
[4] Kyuing Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul, South Korea
[5] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[6] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 04期
关键词：
-Hilfer fractional derivative; Nonlocal conditions; Existence and uniqueness; Kuratowski measure of noncompactness; Stability; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS; STABILITY; THEOREM;
D O I：
10.1007/s11868-023-00555-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the existence and uniqueness of solutions for a nonlinear boundary value problem involving a sequential ?-Hilfer fractional integro-differential equations with nonlocal boundary conditions. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle, Sadovski's fixed point theorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk. In addition, the Ulam-Hyers stability of solutions is discussed. Finally, the obtained results are illustrated by examples.
引用
收藏
页数：46
相关论文
共 50 条
  • [1] Fractional Integro-Differential Equations with Nonlocal Conditions and ψ-Hilfer Fractional Derivative
    Abdo, Mohammed S.
    Panchal, Satish K.
    Hussien, Hussien Shafei
    MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (04) : 564 - 584
  • [2] NULL CONTROLLABILITY OF ?-HILFER IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL NONLOCAL CONDITIONS
    Kerboua, Mourad
    Bouacida, Ichrak
    Segni, Sami
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1473 - 1491
  • [3] Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions
    Phuangthong, Nawapol
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    Nonlaopon, Kamsing
    MATHEMATICS, 2021, 9 (06)
  • [4] Hilfer fractional stochastic integro-differential equations
    Ahmed, Hamdy M.
    El-Borai, Mahmoud M.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 : 182 - 189
  • [5] 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
  • [6] Systems of Sequential ψ1-Hilfer and ψ2-Caputo Fractional Differential Equations with Fractional Integro-Differential Nonlocal Boundary Conditions
    Sitho, Surang
    Ntouyas, Sotiris K. K.
    Sudprasert, Chayapat
    Tariboon, Jessada
    SYMMETRY-BASEL, 2023, 15 (03):
  • [7] New results on nonlocal functional integro-differential equations via Hilfer fractional derivative
    Subashini, R.
    Jothimani, K.
    Nisar, Kottakkaran Sooppy
    Ravichandran, C.
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (05) : 2891 - 2899
  • [8] On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
    Bashir Ahmad
    Ahmed Alsaedi
    Ravi P. Agarwal
    Alaa Alsharif
    Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1725 - 1737
  • [9] On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    Agarwal, Ravi P.
    Alsharif, Alaa
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) : 1725 - 1737
  • [10] Study on Sobolev type Hilfer fractional integro-differential equations with delay
    Haide Gou
    Baolin Li
    Journal of Fixed Point Theory and Applications, 2018, 20
12345