Results 21 to 30 of about 147 (97)
On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
Discrete Dynamics in Nature and Society, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce the application of three fixed point theorem by discussing the existence of three positive solutions for a class of Caputo fractional difference equation boundary value problem. We establish the condition of the existence of three positive solutions for this problem.
Lili Kong +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the existence of positive solutions for a nonlinear coupled Hadamard fractional differential system, with multistrip and multipoint mixed boundary conditions on an infinite interval. Based on the Arzelá‐Ascoli theorem, we establish an important lemma to prove the complete continuity of operators on the infinite interval.
Xinran Du +3 more
wiley +1 more source
Multiple Positive Solutions for a System of Caputo Fractional p‐Laplacian Boundary Value Problems
Complexity, Volume 2020, Issue 1, 2020., 2020 In this work, we are pleased to investigate multiple positive solutions for a system of Caputo fractional p‐Laplacian boundary value problems, and we also provide an example for illustrating our main results.
Zhi-Wei Lv +3 more
wiley +1 more source
Attainability to Solve Fractional Differential Inclusion on the Half Line at Resonance
Complexity, Volume 2020, Issue 1, 2020., 2020 The presented article is deduced about the positive solutions of the fractional differential inclusion at resonance on the half line. The fractional derivative used is in the sense of Riemann–Liouville and the problem is supplemented by unseparated conditions.
Ahmed Salem +3 more
wiley +1 more source
Right focal boundary value problems for difference equations [PDF]
Opuscula Mathematica, 2010 An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete ...
Johnny Henderson +3 more
doaj +1 more source
Application of the omitted ray fixed point theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper presents a nontrivial application of the omitted ray fixed point theorem. Existence of solutions arguments to nonlinear boundary value problems utilizing the Krasnoselskii fixed point theorem, Leggett-Williams fixed point theorem and their ...
Douglas Anderson, Richard Avery
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Fractal and Fractional, 2023 Our research focuses on investigating the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations. These equations are defined on an infinite interval and involve non-negative nonlinear terms.
Rodica Luca, Alexandru Tudorache
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Discrete Dynamics in Nature and Society, 2012 We study the nonlinear nonhomogeneous n-point generalized Sturm-Liouville fourth-order p-Laplacian boundary value problem by using Leray-Schauder nonlinear alternative and Leggett-Williams fixed-point theorem.
Jian Liu, Zengqin Zhao
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Positive Solutions for a Mixed-Order Three-Point Boundary Value Problem for p-Laplacian
Abstract and Applied Analysis, 2013 The author investigates the existence and multiplicity of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator. The main tool is fixed point index theory and Leggett-Williams fixed point theorem.
Francisco J. Torres
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Fractal and Fractional, 2023 In this paper, by using the Leggett–Williams fixed-point theorem, we study the existence of positive solutions to fractional differential equations with mixed Riemann–Liouville and quantum fractional derivatives.
Nemat Nyamoradi +2 more
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