Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420446 | Applied Mathematics and Computation | 2015 | 8 Pages |
Abstract
â¢We analyze the existence of solutions for the Caputo fractional differential inclusion.â¢Two types of integral boundary conditions were considered.â¢Recent fixed point results were used to resolve the inclusion problems.
The goal of the manuscript is to analyze the existence of solutions for the Caputo fractional differential inclusion cDqx(t)âF(t,x(t),cDβx(t)) with the boundary value conditions x(0)=0 and x(1)+xâ²(1)=â«0ηx(s)ds, such that 0<η<1, 11. Also, we investigate the existence of solutions for the Caputo fractional differential inclusion cDqx(t)âF(t,x(t)) such that x(0)=aâ«0νx(s)ds and x(1)=bâ«0ηx(s)ds, where 0<ν, η<1, 1
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ravi P. Agarwal, Dumitru Baleanu, Vahid Hedayati, Shahram Rezapour,