EXISTENCE OF SOLUTIONS OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA MEASURE OF NONCOMPACTNESS

被引：0

作者：

Das, Anupam ^{[1
]}

Hazarika, Bipan ^{[2
]}

Abbas, Syed ^{[3
]}

Nashine, Hemant kumar ^{[4
,5
]}

Deep, Amar ^{[6
]}

机构：

[1] Cotton Univ, Dept Math, Gauhati, India

[2] Gauhati Univ, Dept Math, Gauhati 781014, India

[3] Indian Inst Technol Mandi, Sch Math & Stat Sci, Mandi, India

[4] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Bhopal, India

[5] Univ Johannesburg, Dept Math & Appl Math, Johannesburg, South Africa

[6] IIMT Engn Coll Meerut, Dept Appl Sci, Meerut, India

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2024年 / 54卷 / 02期

关键词：

measure of noncompactness; fractional hybrid differential equation; fixed point theorem;

D O I：

10.1216/rmj.2024.54.439

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With the help of a newly defined contraction operator, we establish a fixed point theorem and study the solvability of fractional hybrid differential equations in a Banach space. We provide examples to support our findings.

引用

页码：439 / 449

页数：11

共 50 条

[1] On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations
Agarwal, Ravi P.
Benchohra, Mouffak
Seba, Djamila
RESULTS IN MATHEMATICS, 2009, 55 (3-4) : 221 - 230
[2] On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations
Ravi P. Agarwal
Mouffak Benchohra
Djamila Seba
Results in Mathematics, 2009, 55
[3] Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
Kexue Li
Jigen Peng
Jinghuai Gao
Fractional Calculus and Applied Analysis, 2012, 15 : 591 - 610
[4] Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
Li Kexue
Peng Jigen
Gao Jinghuai
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (04) : 591 - 610
[5] Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations
Salem, Ahmed
Alnegga, Mohammad
AXIOMS, 2020, 9 (02)
[6] MEASURE OF NONCOMPACTNESS AND FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH HYBRID CONDITIONS
Derbazi, Choukri
Hammouche, Hadda
Salim, Abdelkrim
Benchohra, Mouffak
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (02): : 145 - 161
[7] Existence of Solutions for a Class of Fredholm Integral–Differential Equations Via Measure of Noncompactness
R. Allahyari
R. Arab
A. Shole Haghigh
Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 481 - 487
[8] Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness
Rakesh Kumar
Satish Kumar
Bhupander Singh
Hamid Reza Sahebi
ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (1)
[9] Solution of infinite system of ordinary differential equations and fractional hybrid differential equations via measure of noncompactness
Zada, Mian Bahadur
Sarwar, Muhammad
Nashine, Hemant Kumar
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 1119 - 1127
[10] Existence of Solutions for a Class of Fredholm Integral-Differential Equations Via Measure of Noncompactness
Allahyari, R.
Arab, R.
Haghigh, A. Shole
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A2): : 481 - 487

← 1 2 3 4 5 →