The existence of solutions for some fractional finite difference equations via sum boundary conditions

Ravi P Agarwal, Dumitru Baleanu, Shahram Rezapour, Saeid Salehi
2014 Advances in Difference Equations  
In this manuscript we investigate the existence of the fractional finite difference μ-1 , and t ∈ N b+2 0 . Along the same lines, we discuss the existence of the solutions for the following FFDE: μ μ-3 x(t) = g(t + μ -2, x(t + μ -2)) via the boundary conditions x(μ -3) = 0 and x(μ + b + 1) = 0 and the sum boundary condition 0 , and α, β, γ ∈ N μ+b μ-2 with γ < β < α. MSC: 34A08
doi:10.1186/1687-1847-2014-282 fatcat:q57dszk4tjarrpyj5tirtsgtxi