共查询到20条相似文献，搜索用时 15 毫秒
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In this paper, we prove the existence and uniqueness of positive solutions for a system of multi-order fractional differential equations. The system is used to represent constitutive relation for viscoelastic model of fractional differential equa-tions. Our results are based on the fixed point theorems of increasing operator and the cone theory, some illustrative examples are also presented. 相似文献
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This study gives some new existence results for a three point boundary value problem involving a nonlinear fractional differential equation that incorporates a broad form of the Caputo fractional derivative concerning a new function. Our approach rests upon the fixed point theorems established by Banach, Schafer, and Schauder. Additionally, we substantiate the robustness of our findings by providing an apt illustrative example. 相似文献
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In this paper, we study a class of integral boundary value problem for fractional order impulsive differential equations, where both the nonlinearity and the impulsive terms contain the fractional order derivatives. By using fixed‐point theorems, the existence results of solution for the boundary value problem are established. Finally, some examples are presented to illustrate the existence results. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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In this paper, we investigate the positive solutions for Hilfer fractional differential equation boundary value problems at resonance. First, we give the expression of the solution with Mittag-Leffler function. Next, we obtain the existence of the positive solutions by using fixed point index theorem. Finally, we give relevant examples to prove our main results. 相似文献
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Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives 总被引：1，自引：0，他引：1
Varsha Daftardar-Gejji 《Journal of Mathematical Analysis and Applications》2007,328(2):1026-1033
We discuss existence, uniqueness and stability of solutions of the system of nonlinear fractional differential equations
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李耀红 《高校应用数学学报(A辑)》2015,30(1):109-116
利用锥拉伸和压缩不动点定理,研究了一类具有Riemann-Liouvile分数阶积分条件的分数阶微分方程组边值问题.结合该问题相应Green函数的性质,获得了其正解的存在性条件,并给出了一些应用实例. 相似文献
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In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results. 相似文献
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一类次线性分数微分方程的正解存在性 总被引：2，自引：0，他引：2
证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性.主要方法是锥拉伸与锥压缩型的Krasnosel’skii不动点定理的局部应用.我们的结论表明该方程可以具有一个正解,只要非线性项在某个有界集上的“高度”是适当的. 相似文献
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Zhongli Wei Changci PangYouzheng Ding 《Communications in Nonlinear Science & Numerical Simulation》2012,17(8):3148-3160
In this paper, we investigate the existence of positive solutions of singular super-linear (or sub-linear) integral boundary value problems for fractional differential equation involving Caputo fractional derivative. Necessary and sufficient conditions for the existence of C3[0, 1] positive solutions are given by means of the fixed point theorems on cones. Our nonlinearity f(t, x) may be singular at t = 0 and/or t = 1. 相似文献
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In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville''s fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations. 相似文献
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主要建立了奇异一阶周期系统的多重正解,证明了在适当的条件下这个问题至少存在两个解.第一个正解的存在性是利用非线性L eray-Schauder抉择定理得到的,第二个解是利用K rasnoselsk ii锥不动点定理得到的. 相似文献
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In this paper, by using the Schauder fixed point theorem, we study the existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations and obtain some new results. 相似文献
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谢馥芬 《数学的实践与认识》2012,42(23)
通过构造修正函数并结合降阶法,得到了一类变号奇异分数阶微分方程边值问题多个正解的存在性,其中,非线性项含有未知函数的分数阶导数且允许变号最后也给出一个例子说明主要结果的应用. 相似文献
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含积分边界条件的分数阶微分方程边值问题的正解的存在性 总被引：1，自引：0，他引：1
研究了含积分边界条件的分数阶微分方程的边值问题,首先给出格林函数及性质,其次将问题转化为一个等价的积分方程,最后应用Krasnoselkii及Leggett-Williams不动点定理得到了一个及多个正解的存在性,推广了以往的结果． 相似文献
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赵增勤 《数学物理学报(B辑英文版)》2011,31(4):1569-1582
This paper investigates a class of 2nth-order singular superlinear problems with Strum-Liouville boundary conditions. We obtain a necessary and sufficient condition for the existence of C 2 n- 2 [0, 1] positive solutions, and a sufficient condition, a necessary condition for the existence of C 2 n-1 [0, 1] positive solutions. Relations between the positive solutions and the Green’s functions are depicted. The results are used to judge nonexistence or existence of positive solutions for given boundary value problems. 相似文献
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José Vanterler da C. Sous Abdelati El Allaoui Lamine Mbarki Youssef Allaoui 《Journal of Applied Analysis & Computation》2025,15(1)
This paper we concern the solvability and uniqueness of higher-order Langevin fractional differential equations subject to integral boundary conditions. We establish the existence of solutions using Krasnoselskii\"s fixed point theorem, while uniqueness is demonstrated through the application of the Banach fixed point theorem. The obtained results offer insights into the solution space of these complex differential equations, shedding light on their behavior and properties. To illustrate the practical implications of our findings, we provide a concrete example at the end of this paper. 相似文献
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研究了一类带有p-Laplacian算子的分数阶微分方程四点边值问题,利用不动点定理,得到了该边值问题至少存在一个正解的充分条件. 相似文献
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宋利梅 《高校应用数学学报(A辑)》2014,29(4)
考虑具有p-Laplace算子的分数阶泛函微分方程边值问题,利用锥上的不动点定理,得到了其正解及多个正解存在的充分条件,所得结果推广了已有的结论,并举例说明了结论的适用性. 相似文献