论文信息 - A new fractional boundary value problem and Lyapunov-type inequality

A new fractional boundary value problem and Lyapunov-type inequality

Throughout this paper, we study a new modified version of fractional boundary value problem (BVP) of the form (a D α y)(t)+ p(t)y′(t)+q(t)y(t) = 0, a < t < b, 2 < α 3, with y(a) = y′(a) = y(b) = 0 , where p ∈C1([a,b]) and q ∈C([a,b]) . Using the vector Green function we obtain a Lyapunov-type inequality for the BVP subject to Dirichlet-type boundary conditions. Moreover, we utilize the new inequality to infer a criteria for the nonexistence of real zeros of some certain Mittag-Leffler functions using the generalized Wright functions. Mathematics subject classification (2010): 34A08, 26D10, 34C10, 33E12.

Mohammad Mursaleen | Ehsan Pourhadi | E. Pourhadi | M. Mursaleen

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