Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition

In this paper, we investigate a time-fractional semilinear differential equation with final nonlocal condition [Formula presented]. Under some assumptions, we establish the existence and uniqueness of a mild solution in some suitable spaces of continuous functions. The results are based on some fixed point theorems. Two examples are presented to illustrate our results. © 2018 Elsevier Ltd

Authors
Tuan N.H. 1 , Ngoc T.B. 2, 3 , Huynh L.N. 3 , Kirane M. 4, 5, 6
Journal
Computers and Mathematics with Applications
Publisher
Elsevier Ltd
Language
English
State
Published
Link
External link
DOI
10.1016/J.CAMWA.2018.11.007
Year
2018
Organizations
  • 1 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
  • 2 Department of Mathematics, Faculty of Science, Nong Lam University, Ho Chi Minh City, Viet Nam
  • 3 Faculty of Mathematics and Computer Science, University of Science, Vietnam National University (VNU-HCMC), Ho Chi Minh city, Viet Nam
  • 4 Lasie, Faculté des Sciences et Technologies, Université de La Rochell, Avenue M. Crépeau, La Rochelle, Cedex, 17042, France
  • 5 Nonlinear Analysis and Applied Mathematics, (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
  • 6 RUDN University, 6 Miklukho-MaklaySt, Moscow, 117198, Russian Federation
Keywords
Fixed point theory; Fractional diffusion equation; Nonlocal problem
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