On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416, Iran
Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria 0003, South Africa
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah 64001, Iraq
Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
Department of Mathematics, Çankaya University, Ankara 06530, Turkey
Institute of Space Sciences, P.O. Box MG-23, Magurele-Bucharest RO-76911, Romania
Author to whom correspondence should be addressed.
Academic Editors: Carlo Cattani and Kevin H. Knuth
Received: 21 June 2016 / Revised: 26 October 2016 / Accepted: 21 November 2016 / Published: 23 November 2016
In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing theorem (IDT), existence and uniqueness results are obtained. Some examples are presented to illustrate the validity of our results.
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MDPI and ACS Style
Jafari, H.; Jassim, H.K.; Al Qurashi, M.; Baleanu, D. On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations. Entropy 2016, 18, 420.
Jafari H, Jassim HK, Al Qurashi M, Baleanu D. On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations. Entropy. 2016; 18(11):420.
Jafari, Hossein; Jassim, Hassan K.; Al Qurashi, Maysaa; Baleanu, Dumitru. 2016. "On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations." Entropy 18, no. 11: 420.
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