This paper studies a coupled system of nonlinear fractional differential equation with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved forâ€¦ (More)

In the original Virtual Element space with degree of accuracy k, projector operators in theH-seminorm onto polynomials of degree â‰¤ k can be easily computed. On the other hand, projections in the Lâ€¦ (More)

We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u(n) + a(t) f (u) = 0, t âˆˆ (0, 1) u(0) = 0, uâ€²(0) = 0, . . . , u(nâˆ’2)(0) = 0, Î±u(Î·) = u(1), where 0 < Î·â€¦ (More)

Hongli Donga,bâˆ— Zidong Wangc,d Fuad E. Alsaadi d Bashir Ahmade aCollege of Electrical and Information Engineering, Northe ast Petroleum University, Daqing 163318, China bInstitute for Automaticâ€¦ (More)

where F : [0, T ]Ã— R â†’ P(R) is a multivalued map, P(R) is the family of all subsets of R and Î±, Î² âˆˆ R. Multi-point boundary conditions arise in a variety of problems of applied mathematics andâ€¦ (More)

We study an initial value problem for a coupled Caputo type nonlinear fractional differential system of higher order. As a first problem, the nonhomogeneous terms in the coupled fractionalâ€¦ (More)

* Correspondence: bashir_qau@yahoo.com Department of Mathematics, Faculty of Science, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia Full list of author information is availableâ€¦ (More)