A nonlocal Cauchy problem for nonlinear generalized fractional integro-differential equations

被引：0
|
作者：
Kharat, Vinod V. [1 ]
Tate, Shivaji [2 ]
Reshimkar, Anand Rajshekhar [3 ]
机构：
[1] NB Navale Sinhgad Coll Engn, Dept Math, Kegaon, Solapur, India
[2] Kisan Veer Mahavidyalaya, Dept Math, Wai, India
[3] DBF Dayanand Coll Arts & Sci, Dept Math, Solapur, India
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 03期
关键词：
Fractional derivative; fractional integration; fractional integro-diffe-rential equation; existence of solution; fxed point theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.24193/subbmath.2023.3.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving general-ized Katugampola fractional derivative. By using fxed point theorems, the results are obtained in weighted space of continuous functions. In the last, results are illustrated with suitable examples.
引用
收藏
页码：489 / 506
页数：18
相关论文
共 50 条
  • [41] On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
    Bashir Ahmad
    Ahmed Alsaedi
    Ravi P. Agarwal
    Alaa Alsharif
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1725 - 1737
  • [42] Numerical schemes with convergence for generalized fractional integro-differential equations
    Kumar, Kamlesh
    Pandey, Rajesh K.
    Sultana, Farheen
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 388
  • [43] On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    Agarwal, Ravi P.
    Alsharif, Alaa
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) : 1725 - 1737
  • [44] Study of a sequential ?-Hilfer fractional integro-differential equations with nonlocal BCs
    Haddouchi, Faouzi
    Samei, Mohammad Esmael
    Rezapour, Shahram
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
  • [45] Existence of the Mild Solution to Impulsive Nonlocal Fractional Integro-Differential Equations
    Kumar S.
    Chadha A.
    Rohila R.
    [J]. International Journal of Applied and Computational Mathematics, 2024, 10 (1)
  • [46] A qualitative study on generalized Caputo fractional integro-differential equations
    Kassim, Mohammed D.
    Abdeljawad, Thabet
    Shatanawi, Wasfi
    Ali, Saeed M.
    Abdo, Mohammed S.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [47] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
    Ahmed Alsaedi
    Bashir Ahmad
    [J]. Advances in Difference Equations, 2010
  • [48] EXISTENCE OF SOLUTIONS FOR SEMILINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Zhu, Jianbo
    [J]. FIXED POINT THEORY, 2023, 24 (02): : 787 - 804
  • [49] Existence and Uniqueness Results for Fractional Integro-Differential Equations with Nonlocal Conditions
    Wu, Jun
    Liu, Yicheng
    [J]. 2010 2ND IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND FINANCIAL ENGINEERING (ICIFE), 2010, : 91 - 94
  • [50] Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions
    Hamdy M. Ahmed
    [J]. Journal of Theoretical Probability, 2015, 28 : 667 - 680
12345