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 37 条

[1] PICARD SEQUENCES IN b-METRIC SPACES [J].