Results for Mild solution of fractional coupled hybrid boundary value problems

• Autorzy: Dumitru Baleanu , Hossein Jafari , Hasib Khan , Sarah Jane Johnston
• Języki publikacji: EN

Abstrakty

EN

The study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and uniqueness of mild solution (EUMS) of a coupled system of HFDEs. The novelty of this work is the study of a coupled system of fractional order hybrid boundary value problems (HBVP) with n initial and boundary hybrid conditions. For this purpose, we are utilizing some classical results, Leray–Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.

Słowa kluczowe

EN

Hybrid fractional differential equations; Existence and uniqueness of Mild solution; Leray–SchauderAlternative; Banach Contraction Principle

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-03-23

zaakceptowano

2015-05-15

online

2015-09-25

Twórcy

autor

Dumitru Baleanu

• Department of Mathematics Computer Science, Cankaya University, 06530 Ankara, Turkey and Institute of Space
  Sciences, P.O. BOX, MG-23, 76900 Magurele-Bucharest, Romania

autor

Hossein Jafari

• Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA
  0003, South Africa
• Department of Mathematics, University of Mazandaran, Babolsar, Iran

autor

Hasib Khan

• University of Malaknd, Chakdara, Dir lower, P. O. Box 18000, Khybar Pakhtunkhwa, Pakistan and Shaheed Benazir
  Bhutto University, Sheringal, Dir Upper, P.O. Box 18000, Khybar Pakhtunkhwa, Pakistan

autor

Sarah Jane Johnston

• Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA
  0003, South Africa

Bibliografia

• ---
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Identyfikatory

DOI

10.1515/math-2015-0055