Infinitely many solutions for impulsive nonlinear fractional boundary value problems

被引：0
作者：
Shapour Heidarkhani
Amjad Salari
Giuseppe Caristi
机构：
[1] Razi University,Department of Mathematics, Faculty of Sciences
[2] University of Messina,Department of Economics
来源：
Advances in Difference Equations | / 2016卷
关键词：
classical solution; infinitely many solutions; fractional differential equation; impulsive condition; variational methods; critical point theory; 34A08; 34B37; 58E05; 58E30; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on variational methods and critical point theory, the existence of infinitely many classical solutions for impulsive nonlinear fractional boundary value problems is ensured.
引用
收藏
相关论文
共 93 条
[1]  
Gaul L(1991)Damping description involving fractional operators Mech. Syst. Signal Process. 5 81-88
[2]  
Klein P(1995)A fractional calculus approach of self-similar protein dynamics Biophys. J. 68 46-53
[3]  
Kempfle S(1995)Relaxation in filled polymers: a fractional calculus approach J. Chem. Phys. 103 7180-7186
[4]  
Glockle WG(2008)Basic theory of fractional differential equations Nonlinear Anal. TMA 69 2677-2682
[5]  
Nonnenmacher TF(2012)Existence of three solutions for a nonlinear fractional boundary value problem via a critical points theorem Abstr. Appl. Anal. 2012 691-698
[6]  
Metzler F(2012)Existence of solutions for a nonlinear fractional boundary value problem via a local minimum theorem Electron. J. Differ. Equ. 2012 1480-1492
[7]  
Schick W(2013)Infinitely many solutions for a perturbed nonlinear fractional boundary value-problem Electron. J. Differ. Equ. 2013 1288-1304
[8]  
Kilan HG(2012)Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory Abstr. Appl. Anal. 2012 2008-2020
[9]  
Nonnenmacher TF(2014)Remarks for one-dimensional fractional equations Opusc. Math. 34 317-332
[10]  
Lakshmikantham V(2016)Existence results for one-dimensional fractional equations Math. Methods Appl. Sci. 39 1181-1199
12345678910