Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
نویسندگان
چکیده
In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: Dq (φp(Dqy(t))) + f (t, y(t)) = 0 (0 < t < 1; 0 < γ < 1; 3 < δ < 4), y(0) = (Dqy)(0) = (D 2 qy)(0) = 0, a1(Dqy)(1) + a2(Dqy)(1) = 0, a1 + |a2| = 0, D0+y(t)|t=0 = 0. We make use of such a fractional q-difference boundary value problem in order to show the existence and uniqueness of positive and nondecreasing solutions by means of a familiar fixed point theorem. MSC: Primary 05A30; 26A33; 34K10; 39A13; secondary 34A08; 34B18
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