Stability and existence results for a class of nonlinear fractional differential equations with singularity

2018 ◽  
Vol 41 (18) ◽  
pp. 9321-9334 ◽  
Author(s):  
Abdulwasea Alkhazzan ◽  
Peng Jiang ◽  
Dumitru Baleanu ◽  
Hasib Khan ◽  
Aziz Khan
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence Results ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential

scholarly journals Some Existence Results for a System of Nonlinear Fractional Differential Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Eskandar Ameer ◽  
Hassen Aydi ◽  
Hüseyin Işık ◽  
Muhammad Nazam ◽  
Vahid Parvaneh ◽  
...  
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Cauchy Sequence ◽  
Fixed Point Theorems ◽  
Existence Results ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential ◽  
Rational Contraction ◽  
Common Fixed Point Theorems

In this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given.

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