EXISTENCE OF SOLUTION TO A NONLOCAL CONFORMABLE FRACTIONAL THERMISTOR PROBLEM

被引：6

作者：

Ammi, Moulay Rchid Sidi ^{[1
]}

Torres, Delfim F. M. ^{[2
]}

机构：

[1] Moulay Ismail Univ, Fac Sci & Tech, AMNEA Grp, Dept Math, BP 509, Errachidia, Morocco

[2] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Existence of solutions; fractional differential equations; conformable fractional derivatives; CALCULUS;

D O I：

10.31801/cfsuasmas.501582

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlocal thermistor problem for fractional derivatives in the conformable sense. Classical Schauder's fixed point theorem is used to derive the existence of a tube solution.

引用

页码：1061 / 1072

页数：12

共 37 条

[21] Hukuhara M., 2017, IOSR Journal of Mathematics, V13, P81, DOI DOI 10.9790/5728-1302028187
[22] A new definition of fractional derivative
Khalil, R.
Al Horani, M.
Yousef, A.
Sababheh, M.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 : 65 - 70
[23] Khalil R., 2015, International Journal of Pure and Applied Mathematics, V103, P667, DOI [10.12732/ijpam.v103i4.6, DOI 10.12732/ijpam.v103i4.6]
[24] Kilbas AA, 2006, N HOLLAND MATH STUDI, V204
[25] Variational Calculus With Conformable Fractional Derivatives
Lazo, Matheus J.
Torres, Delfim F. M.
[J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2017, 4 (02) : 340 - 352
[26] Li C, 2016, ELECTRON J DIFFER EQ, V2016, P207
[27] Recent history of fractional calculus
Machado, J. Tenreiro
Kiryakova, Virginia
Mainardi, Francesco
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1140 - 1153
[28] The theta-Galerkin finite element method for coupled systems resulting from microsensor thermistor problems
Mbehou, Mohamed
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (04) : 1480 - 1491
[29] Miller K.S., 1993, INTRO FRACTIONAL CAL
[30] nal E., 2015, Br J Appl Sci Technol, V10, P1, DOI DOI 10.9734/BJAST/2015/18590

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