On Extended Branciari
b
-Distance Spaces and Applications to Fractional Differential Equations
Keyword(s):
In this work, we define new α − λ -rational contractive conditions and establish fixed-points results based on aforesaid contractive conditions for a mapping in extended Branciari b -distance spaces. We furnish two examples to justify the work. Further, we discuss results on weak well-posed property, weak limit shadowing property, and generalized w -Ulam-Hyers stability in the underlying space. Finally, as an application of our main result, we obtain sufficient conditions for the existence of solutions of a nonlinear fractional differential equation with integral boundary conditions.
Keyword(s):
2012 ◽
Vol 52
(1)
◽
pp. 62-76
◽
2016 ◽
Vol 5
(1)
◽
pp. 18
Keyword(s):
2013 ◽
Vol 2013
(1)
◽
pp. 353
◽