Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales

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Existence of Positive Solutions for p-Laplacian Dynamic Equations with Derivative on Time Scales

where T is a time scale, 󳵻 is a delta derivative, ∇ is a nabla derivative, 0 < ξ1 < ξ2 < ξ3 < ⋅ ⋅ ⋅ < ξm−2 < ρ(T), α > 0, β ≥ 0, 0, T ∈ T , [0, T]T = [0, T] ∩ T , and other types of intervals are defined similarly. Throughout this paper, we denote the p-Laplacian operator by φp(u); that is, φp(u) = |u| u, p > 1,(φp) −1 = φq, and 1/p + 1/q = 1. The theory of dynamic equations on time scales was ...

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ژورنال

عنوان ژورنال: Nonlinear Analysis: Hybrid Systems

سال: 2019

ISSN: 1751-570X

DOI: 10.1016/j.nahs.2018.12.001