Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p -Laplacian operator

Serkan Araci; Erdo?an ?en; Mehmet A?ikg?z; Hari M Srivastava

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Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p -Laplacian operator

机译：一类涉及p -Laplacian算子的分数阶边值问题正解和非降解的存在性和唯一性

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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: D q γ ( ? p ( D q δ y ( t ) ) ) + f ( t , y ( t ) ) = 0 $D_{q}^{gamma}(phi_{p}(D_{q}^{delta}y(t)))+f(t,y(t))=0$ ( 0 < t < 1 $0< t<1$ ; 0 < γ < 1 $0

机译：在本文中，我们使用p-Laplacian算子来研究由以下分数q-差分边值问题引起的解的存在：D qγ（？p（D qδy（t）））+ f（t ，y（t））= 0 $ D_ {q} ^ { gamma}（ phi_ {p}（D_ {q} ^ { delta} y（t）））+ f（t，y（t）） = 0 $（0

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《Advances in Difference Equations》 |2015年第1期|共12页
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Serkan Araci; Erdo?an ?en; Mehmet A?ikg?z; Hari M Srivastava;
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机译：一类涉及p-Laplacian算子的分数阶边值问题正解和非降解的存在性和唯一性

Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p -Laplacian operator

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