p-Laplacian operator
Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator
... where D β 0+ , D α 0+ and D γ 0+ are the standard Riemann-Liouville derivatives with 1 <a ≤ 2, 0 <b ≤ 1, 0 <g ≤ 1, 0 ≤ a - g - 1, the constant s is a positive number and p - Laplacian ...
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Positive solution for a fractional singular boundary value problem with p-Laplacian operator
... In this paper, we consider a fractional singular three-point boundary value problem with p-Laplacian operator. The nonlinearity f (t,u) may be singular at t = 0, 1 and u = 0. Some properties of the ...
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Existence of solutions of fractional boundary value problems with p-Laplacian operator
... In this paper, the existence of the solutions of the fractional differential equation with p-Laplacian operator and integral conditions is discussed. By Green’s functions and the fixed point theorems, ...
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Existence results for a coupled system of fractional differential equations with p-Laplacian operator and infinite-point boundary conditions
... By means of coincidence degree theory, we present the existence of solutions of a coupled system of fractional differential equations with p-Laplacian operator and infinite-point boundary conditions. ...
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Positive solutions for a boundary value problem of fractional differential equation with p Laplacian operator
... In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, ...
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Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator
... To the best of our knowledge, the existence of concave positive solutions of fractional order equation is seldom considered and investigated. Motivated by the above arguments, the main objective of this paper is to ...
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Multiple positive solutions for nonlinear mixed fractional differential equation with p Laplacian operator
... In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude ...
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Existence of solutions for discrete fractional boundary value problems with a p Laplacian operator
... This paper is concerned with the existence of solutions to a discrete fractional boundary value problem with a p-Laplacian operator. Under certain nonlinear growth conditions of the nonlinearity, the ...
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Existence and uniqueness of solutions for fractional boundary value problems with p Laplacian operator
... In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green ...
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The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator
... where < β ≤ , < α ≤ , ≤ a ≤ , < ξ < . By using Krasnosel’skii’s fixed point the- orem and the Leggett-Williams theorem, some sufficient conditions for the existence of positive solutions to the above ...
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Solvability of fractional boundary value problem with p Laplacian operator at resonance
... with p-Laplacian operator and dim Ker M = by constructing suitable continuous projec- tors and using the extension of Mawhin’s continuation ...
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Solvability of fractional boundary value problems with p Laplacian operator
... Solvability of fractional boundary value problems with p Laplacian operator Zhang Advances in Difference Equations (2015) 2015 352 DOI 10 1186/s13662 015 0648 7 R E S E A R C H Open Access Solvability[.] ...
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Some properties and applications related to the \((2,p)\)-Laplacian operator
... (2, p)-Laplacian operator (p > 1, p = 2), and consider the existence of solutions to two kinds of partial differential equations related to the (2, p)-Laplacian ...
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Positive solution for q fractional four point boundary value problems with p Laplacian operator
... (, ) × (, + ∞ ) → [, ∞ ) is continuous and may be singular at t = , or u = . By applying the upper and lower solutions method associated with the Schauder fixed point theorem, the existence results of at least one ...
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Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition
... In this paper, we study the blow-up phenomena for a positive solution of a nonlinear parabolic problem with p-Laplacian operator under a nonlinear boundary condition. The sufficient conditions which ...
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Existence of positive solutions of boundary value problems for high order nonlinear conformable differential equations with p Laplacian operator
... In this paper, we study the existence of positive solutions for boundary value problems of high-order conformable differential equations involving the p-Laplacian operator. By applying properties of ...
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Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
... In this paper, we study the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach space. By means of the technique of the ...
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The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator
... The authors in [–] studied the existence and multiplicity of solutions for the related problems with the help of critical point theory. Furthermore, the author in [] studied the Boundary value problem with ...
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Study on integro-differential equation with generalized p-Laplacian operator
... Lemma . [] Let X and its dual X * be strictly convex Banach spaces. Suppose S : D(S) ⊂ X → X * is a closed linear operator and S * is the conjugate operator of S. If (u, Su) ≥ ∀u ∈ D(S) and (v, S * v) ...
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Positive solutions of functional difference equations with p Laplacian operator
... For notation, given a < b in Z , we employ intervals to denote discrete sets such as [a, b] = { a,a + 1,..., b } , [a,b) = { a,a + 1,... ,b − 1 } , [a, ∞ ) = { a,a + 1,... } , and so forth. Let τ,N ∈ Z and let 0 ≤ τ ≤ ...
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