Applications of a Fixed Point Result for Solving Nonlinear Fractional and Integral Differential Equations

被引：15

作者：

Guran, Liliana ^{[1
,2
]}

Mitrovic, Zoran D. ^{[3
]}

Reddy, G. Sudhaamsh Mohan ^{[4
]}

Belhenniche, Abdelkader ^{[5
]}

Radenovic, Stojan ^{[6
]}

机构：

[1] Vasile Goldis Western Univ Arad, Dept Pharmaceut Sci, L Rebreanu St, Arad 310048, Romania

[2] Babes Bolyai Univ Cluj Napaco, Dept Appl Math, M Kogalniceanu St 1, Cluj Napoca 400084, Romania

[3] Univ Banja Luka, Fac Elect Engn, Parte 5, Banja Luka 78000, Bosnia & Herceg

[4] Icfai Fdn Higher Educ, IcfaiTech Fac Sci & Technol, Hyderabad 501203, India

[5] Univ Porto, Dept Elect Engn, SYSTEC Res Ctr Syst & Technol, Fac Engn, Rua Dr Roberto Frias S-N, P-4200465 Porto, Portugal

[6] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 1112035, Serbia

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 04期

关键词：

b-metric-like; 0-dbl-complete; dbl-continuous; fixed point; metric; like-space; Caputo fractional differential equation; Green function; THEOREMS; CONTRACTIONS; MAPPINGS;

D O I：

10.3390/fractalfract5040211

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we apply one fixed point theorem in the setting of b-metric-like spaces to prove the existence of solutions for one type of Caputo fractional differential equation as well as the existence of solutions for one integral equation created in mechanical engineering.

引用

页数：13

共 50 条

[21] FRACTIONAL INTEGRAL INEQUALITIES AND THEIR APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS
Jalilian, Yaghoub
ACTA MATHEMATICA SCIENTIA, 2016, 36 (05) : 1317 - 1330
[22] A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations
Hammad, Hasanen Abuelmagd
De la Sen, Manuel
MATHEMATICS, 2019, 7 (07)
[23] Tripled fixed point techniques for solving system of tripled-fractional differential equations
Hammad, A. Hasanen
De la sen, Manuel
AIMS MATHEMATICS, 2021, 6 (03): : 2330 - 2343
[24] A fixed point approach to the solution of singular fractional differential equations with integral boundary conditions
Chandran, Kalaivani
Gopalan, Kalpana
Zubair, Sumaiya Tasneem
Abdeljawad, Thabet
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[25] A fixed point approach to the solution of singular fractional differential equations with integral boundary conditions
Kalaivani Chandran
Kalpana Gopalan
Sumaiya Tasneem Zubair
Thabet Abdeljawad
Advances in Difference Equations, 2021
[26] Integral transforms suitable for solving fractional differential equations
Boiti, Chiara
Franceschi, Jonathan
ARABIAN JOURNAL OF MATHEMATICS, 2024, 13 (01) : 79 - 89
[27] Integral transforms suitable for solving fractional differential equations
Chiara Boiti
Jonathan Franceschi
Arabian Journal of Mathematics, 2024, 13 (1) : 79 - 89
[28] A Computational Method for Solving Nonlinear Fractional Integral Equations
Matoog, Rajaa T.
Mahdy, Amr M. S.
Abdou, Mohamed A.
Mohamed, Doaa Sh.
FRACTAL AND FRACTIONAL, 2024, 8 (11)
[29] Fixed point theorems in locally convex algebras and applications to nonlinear integral equations
Le Khanh Hung
Fixed Point Theory and Applications, 2015 (1)
[30] FIXED POINT RESULTS FOR φ - (γ, η, n, m)-CONTRACTIONS WITH APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS
Hammad, Hasanen A.
De la Sen, Manuel
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (03): : 448 - 463

← 1 2 3 4 5 →