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
  • [21] MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH GENERALIZED NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    Alghanmi, Madeaha
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018,
  • [22] 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
  • [23] On the Cauchy Problem for Nondegenerate Parabolic Integro-Differential Equations in the Scale of Generalized Holder Spaces
    Mikulevicius, R.
    Xu, Fanhui
    POTENTIAL ANALYSIS, 2020, 53 (03) : 839 - 870
  • [24] On Nonlocal Boundary Value Problems for Nonlinear Integro-differential Equations of Arbitrary Fractional Order
    Bashir Ahmad
    Results in Mathematics, 2013, 63 : 183 - 194
  • [25] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
    Mardanov, M. J.
    Sharifov, Y. A.
    Aliyev, H. N.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 726 - 735
  • [26] On Nonlocal Boundary Value Problems for Nonlinear Integro-differential Equations of Arbitrary Fractional Order
    Ahmad, Bashir
    RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 183 - 194
  • [27] Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces
    Seba, Djamila
    Rebai, Hamza
    Henderson, Johnny
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 141 - 147
  • [28] Controllability of fractional integro-differential evolution equations with nonlocal conditions
    Liang, Jin
    Yang, He
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 254 : 20 - 29
  • [29] Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions
    Yuan, Zhiyuan
    Wang, Luyao
    He, Wenchang
    Cai, Ning
    Mu, Jia
    MATHEMATICS, 2024, 12 (12)
  • [30] A Nonlinear Integro-Differential Equation with Fractional Order and Nonlocal Conditions
    Wahash, Hanan A.
    Abdo, Mohammed S.
    Panchal, Satish K.
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2020, 9 (03) : 469 - 481
12345