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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 8
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Articles

Infinitely many solutions for perturbed impulsive fractional differential systems

Shapour HeidarkhaniFaculty of Sciences, Department of Mathematics, Razi University, Kermanshah, Iran.Correspondence[email protected]
,
Yulin ZhaoSchool of Science, Hunan University of Technology, Zhuzhou, P.R. China.
,
Giuseppe CaristiDepartment of Economics, University of Messina, Messina, Italy.
,
Ghasem A. AfrouziFaculty of Mathematical Sciences, Department of Mathematics, University of Mazandaran, Babolsar, Iran.
&
Shahin MoradiFaculty of Mathematical Sciences, Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Pages 1401-1424 | Received 16 Mar 2016, Accepted 14 May 2016, Published online: 07 Jun 2016

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Dongdong Gao & Jianli Li. (2020) Infinitely many solutions for impulsive fractional differential equations through variational methods. Quaestiones Mathematicae 43:9, pages 1285-1301.
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Elyas Shivanian. (2020) Existence of at Least Three Distinct Weak Solutions for a Class of Nonlinear System of Fractional Differential Equations. Numerical Functional Analysis and Optimization 41:10, pages 1228-1245.
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Articles from other publishers (21)

Mohammad Abolghasemi & Shahin Moradi. (2022) Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects. Boletim da Sociedade Paranaense de Matemática 41, pages 1-15.
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Amjad Salari, Nader Biranvand & Saeed Hashemi Sababe. (2022) On variational approaches for fractional differential equations. Mathematica Slovaca 72:5, pages 1215-1226.
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John R. Graef, Shapour Heidarkhani, Lingju Kong & Shahin Moradi. (2021) Three Solutions for Impulsive Fractional Boundary Value Problems with $${\mathbf {p}}$$-Laplacian. Bulletin of the Iranian Mathematical Society 48:4, pages 1413-1433.
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Rafik Guefaifia, Salah Boulaaras & Fares Kamache. (2021) Existence of weak solutions for a new class of fractional boundary value impulsive systems with Riemann–Liouville derivatives. Journal of Integral Equations and Applications 33:3.
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E. Shivanian. (2021) To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations. Communications in Nonlinear Science and Numerical Simulation 101, pages 105892.
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Shapour Heidarkhani, Shahin Moradi & Giuseppe Caristi. (2020) Existence results for a dynamic Sturm–Liouville boundary value problem on time scales. Optimization Letters 15:7, pages 2497-2514.
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H. Goudarzi, E. Shivanian & S. J. Hosseini Ghoncheh. (2019) Weak Solutions to a System of Nonlinear Fractional Boundary Value Problems Via Variational Form. Bulletin of the Malaysian Mathematical Sciences Society 43:2, pages 1585-1601.
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Yulin Zhao, Xiaoyan Shi & Liang Tang. (2019) Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters. Advances in Difference Equations 2019:1.
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Cuiling Liu, Xingyong Zhang & Junping Xie. (2019) Variational method to a fractional impulsive ( p , q ) $(p,q)$ -Laplacian coupled systems with partial sub- ( p , q ) $(p,q)$ linear growth. Advances in Difference Equations 2019:1.
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Yulin Zhao, Jiafa Xu & Haibo Chen. (2019) Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term. Mathematics 7:10, pages 880.
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Yulin Zhao, Chaoliang Luo & Haibo Chen. (2019) Existence Results for Non-instantaneous Impulsive Nonlinear Fractional Differential Equation Via Variational Methods. Bulletin of the Malaysian Mathematical Sciences Society.
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Jing Qiu, Weihua Jiang, Bingzhi Sun, Chunsheng Zhu, Lei Du & Zhaoquan Gu. (2019) Resonance $p$ -Laplacian Problem in Edge Device Control of IoT. IEEE Access 7, pages 149776-149784.
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Yulin Zhao, Xiaoyan Shi & Haibo Chen. (2018) Multiplicity results for a class of fractional differential equations with impulse. Advances in Difference Equations 2018:1.
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Ying He. (2018) Extremal solutions for p-Laplacian fractional differential systems involving the Riemann-Liouville integral boundary conditions. Advances in Difference Equations 2018:1.
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Yang Wang, Yansheng Liu & Yujun Cui. (2018) Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian. Boundary Value Problems 2018:1.
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S. Heidarkhani, A. Cabada, G.A. Afrouzi, S. Moradi & G. Caristi. (2018) A variational approach to perturbed impulsive fractional differential equations. Journal of Computational and Applied Mathematics 341, pages 42-60.
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Junping Xie & Xingyong Zhang. (2018) Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with -Laplacian . Discrete Dynamics in Nature and Society 2018, pages 1-14.
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Yulin Zhao & Liang Tang. (2017) Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods. Boundary Value Problems 2017:1.
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Shapour Heidarkhani, Ghasem A. Afrouzi & Shahin Moradi. (2017) Existence results for a Kirchhoff-type second-order differential equation on the half-line with impulses. Asymptotic Analysis 105:3-4, pages 137-158.
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Yongliang Guan, Zengqin Zhao & Xiuli Lin. (2017) On the Existence of Solutions for Impulsive Fractional Differential Equations. Advances in Mathematical Physics 2017, pages 1-12.
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Shapour Heidarkhani, Amjad Salari & Giuseppe Caristi. (2016) Infinitely many solutions for impulsive nonlinear fractional boundary value problems. Advances in Difference Equations 2016:1.
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