On Caputo fractional elliptic equation with nonlocal condition

Numerical solution of nonlinear elliptic equation with nonlocal condition ∗

Regimantas Čiupaila, Mifodijus Sapagovas, Olga Štikonienė Vilnius Gediminas Technical University Saulėtekio ave. 11, LT-10223 Vilnius, Lithuania [email protected] Institute of Mathematics and Informatics, Vilnius University Akademijos str. 4, LT-08663 Vilnius, Lithuania [email protected] Vilnius University Naugarduko str. 24, LT-03225 Vilnius, Lithuania olga.stikoniene@mif...

Fuzzy differential equation with nonlocal condition

We shall prove the existence and uniqueness theorem of a solution to the nonlocal fuzzy differential equation using the contraction mapping principle. Ams Mathematics Subject Classification : 94D05, 34C27

On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville f...

Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition

Existence of Positive Solutions for Fractional Differential Equation with Nonlocal Boundary Condition

By using the fixed point theorem, existence of positive solutions for fractional differential equation with nonlocal boundary condition D 0 u t a t f t, u t 0, 0 < t < 1, u 0 0, u 1 ∑∞ i 1αiu ξi is considered, where 1 < α ≤ 2 is a real number, D 0 is the standard Riemann-Liouville differentiation, and ξi ∈ 0, 1 , αi ∈ 0,∞ with ∑∞ i 1αiξ α−1 i < 1, a t ∈ C 0, 1 , 0,∞ , f t, u ∈ C 0, 1 × 0,∞ , 0,∞ .