TY - JOUR ID - 9940 TI - On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Babakhani, Azizollah AU - Al-Mdallal, Qasem AD - Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave, Babol 47148-71167, Iran. AD - Department of Mathematical Sciences , United Arab Emirates University Al-Ain, UAE. Y1 - 2021 PY - 2021 VL - 9 IS - 1 SP - 36 EP - 51 KW - Caputo fractional derivative KW - Integral boundary conditions KW - Fredholm integral equation DO - 10.22034/cmde.2020.29444.1420 N2 - By using the Guo-Krasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (2, 3] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results. UR - https://cmde.tabrizu.ac.ir/article_9940.html L1 - https://cmde.tabrizu.ac.ir/article_9940_dcbd56c554c5be9a0970baa6662c13bb.pdf ER -