Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with p-Laplacian operatorD 0 φp D α 0 u t f t, u t , D 0 u t 0, 0 < t < 1, u 0 u ′ 1 0, u′′ 0 0, D 0 u t |t 0 0, where 0 < γ < 1, 2 < α < 3, 0 < ρ 1, D 0 denotes the Caputo derivative, and f : 0, 1 × 0, ∞ × R → 0, ∞ is continuous function, φp s |s|p−2...
متن کاملPositive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
We investigate the existence ofmultiple positive solutions for three-point boundary value problemof fractional differential equation with p-Laplacian operator −Dt β (φp(Dt α x))(t) = h(t)f(t, x(t)), t ∈ (0, 1), x(0) = 0,Dt γ x(1) = aDt γ x(ξ),Dt α x(0) = 0, where Dt β ,Dt α ,Dt γ are the standard Riemann-Liouville derivatives with 1 < α ≤ 2, 0 < β ≤ 1, 0 < γ ≤ 1, 0 ≤ α − γ − 1, ξ ∈ (0, 1) and t...
متن کاملPositive solutions of p-Laplacian fractional differential equations with integral boundary value conditions
In this work, we investigate the existence of solutions of p-Laplacian fractional differential equations with integral boundary value conditions. Using the five functionals fixed point theorem, the existence of multiple positive solutions is obtained for the boundary value problems. An example is also given to illustrate the effectiveness of our main result. c ©2016 All rights reserved.
متن کاملExistence solutions for new p-Laplacian fractional boundary value problem with impulsive effects
Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...
متن کاملExistence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2019
ISSN: 1687-2770
DOI: 10.1186/s13661-019-1257-2