Existence theory and stability analysis to a system of boundary value problem

SHAH K., TUNÇ C.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, cilt.11, sa.6, ss.1330-1342, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.jtusci.2017.06.002
  • Dergi Adı: JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1330-1342
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The aims and objectives of this manuscript are devoted to investigate some adequate results for the existence of solution to a nonlinear coupled system of fractional order differential equations (FDEs). Appropriate conditions for the existence of at least one solution are developed by using a fixed point theorem of Leray Schauder type to the considered problem. Further, we also investigate the Hyers Ulam stability results for the proposed problem. Appropriate examples are given to demonstrate the established results. (C) 2017 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license