Perturbation results for some nonlinear equations involving fractional operators

Simone Secchi

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Perturbation results for some nonlinear equations involving fractional operators

机译：一些涉及分数算子的非线性方程的摄动结果

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摘要

By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.

机译：通过在临界点理论中使用摄动技术，我们证明了涉及分数阶微分算子的两种非线性方程解的存在。

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《Differential Equations Applications》 |2013年第2期|共16页
作者
Simone Secchi;
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正文语种
中图分类微分方程、积分方程;
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1. Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel [J] . JF Gmez-Aguilar, H Ypez-Martnez, J Torres-Jimnez, Advances in Difference Equations . 2017,第1期

机译：分数阶算子的非线性微分方程的同伦摄动变换法。
2. ON PERTURBATIONS OF ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS BY NONLINEAR OPERATORS [J] . H. K. Avad, A. V. Glushak Journal of Mathematical Sciences . 2010,第3期

机译：非线性算子对抽象分数阶微分方程的摄动
3. A New Class of Four-Point Fractional Sum Boundary Value Problems for Nonlinear Sequential Fractional Difference Equations Involving Shift Operators [J] . J. Reunsumrit, T. Sitthiwirattham Kragujevac Journal of Mathematics . 2018,第3期

机译：包含移位算子的非线性顺序分数阶差分方程的一类新的四点分数和和边值问题
4. Fixed point theorems for a class of nonlinear sum-type operators and its application to fractional q-difference equations* [C] . Xiaoxia Yang, Lingling Zhang International Conference on Industrial Artificial Intelligence . 2020

机译：一类非线性和型运算符及其在分数Q差分方程的应用程序的定点定理*
5. Numerical Approximation of Partial Differential Equations Involving Fractional Differential Operators [D] . Lei, Wenyu 2018

机译：包含分数阶微分算子的偏微分方程的数值逼近
6. On the Singular Perturbations for Fractional Differential Equation [O] . Abdon Atangana -1

机译：关于分数阶微分方程的奇摄动
7. Perturbation results for some nonlinear equations involving fractional operators [O] . Simone Secchi 2013

机译：一些涉及分数算子的非线性方程的扰动结果
8. The Use of Fractional Integral Operators for Solving Nonhomogeneous Differential Equations [R] . Higgins, T. P. 1967

机译：分数次积分算子在求解非齐次微分方程中的应用

Perturbation results for some nonlinear equations involving fractional operators

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