Abstract. In this paper, we study the existence of solutions for a coupled system of two-point fractional ∇ -difference boundary value problems of the form Mathematics subject classification (2010): 34A08, 39A12, 34A12, 34B15, 39A10.

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We study the inverse generalized eigenvalue problem (IGEP) Ax = λBx, in which A is a Jacobi matrix with positive off-diagonal entries ci>0, and B = diag(b1,b2,...,bN), where bi≠0 for i = 1,2,...,N. We use the concept of m-functions to solve the IGEP, which corresponds to the continuous case of the inverse problem.