On solution of generalized proportional fractional integral via a new fixed point theorem

被引：9
|
作者：
Das, Anupam [1 ]
Suwan, Iyad [2 ]
Deuri, Bhuban Chandra [3 ]
Abdeljawad, Thabet [4 ,5 ,6 ]
机构：
[1] Cotton Univ, Dept Math, Gauhati 781001, Assam, India
[2] Arab Amer Univ, Dept Math & Stat, POB 240, Zababdeh 13, Jenin, Palestine
[3] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India
[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[6] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Measure of noncompactness (MNC); Fixed point theorem; Generalized proportional fractional integral; DIFFERENTIAL-EQUATIONS; INFINITE SYSTEM; NONCOMPACTNESS; SOLVABILITY;
D O I：
10.1186/s13662-021-03589-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is the solvability of generalized proportional fractional(GPF) integral equation at Banach space E. Herein, we have established a new fixed point theorem which is then applied to the GPF integral equation in order to establish the existence of solution on the Banach space. At last, we have illustrated a genuine example that verified our theorem and gave a strong support to prove it.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] SOLUTION OF NONLINEAR INTEGRAL EQUATIONS VIA FIXED POINT OF GENERALIZED CONTRACTIVE CONDITION
    Verma, R. K.
    Pathak, H. K.
    MATEMATICKI VESNIK, 2012, 64 (03): : 223 - 231
  • [22] The Minkowski inequalities via generalized proportional fractional integral operators
    Gauhar Rahman
    Aftab Khan
    Thabet Abdeljawad
    Kottakkaran Sooppy Nisar
    Advances in Difference Equations, 2019
  • [23] The Minkowski inequalities via generalized proportional fractional integral operators
    Rahman, Gauhar
    Khan, Aftab
    Abdeljawad, Thabet
    Nisar, Kottakkaran Sooppy
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [24] New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral
    Mumcu, Ilker
    Set, Erhan
    Akdemir, Ahmet Ocak
    Jarad, Fahd
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (02)
  • [25] NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION
    Rashid, Saima
    Hammouch, Zakia
    Jarad, Fahd
    Chu, Yu-Ming
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (08)
  • [26] Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative
    Rashid, Saima
    Ahmad, Abdulaziz Garba
    Jarad, Fahd
    Alsaadi, Ateq
    AIMS MATHEMATICS, 2022, 8 (01): : 382 - 403
  • [27] Certain inequalities via generalized proportional Hadamard fractional integral operators
    Gauhar Rahman
    Thabet Abdeljawad
    Fahd Jarad
    Aftab Khan
    Kottakkaran Sooppy Nisar
    Advances in Difference Equations, 2019
  • [28] Certain inequalities via generalized proportional Hadamard fractional integral operators
    Rahman, Gauhar
    Abdeljawad, Thabet
    Jarad, Fahd
    Khan, Aftab
    Nisar, Kottakkaran Sooppy
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [29] A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem
    Halder, Sukanta
    Deepmala, Cemil
    Tunc, Cemil
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2024, 18 (01):
  • [30] Symmetric Solutions of Nonlinear Fractional Integral Equations via a New Fixed Point Theorem under FG-Contractive Condition
    Nashine, Hemant Kumar
    Ibrahim, Rabha W.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (12) : 1448 - 1466
12345