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On Extended Branciari b -Distance Spaces and Applications to Fractional Differential Equations
R. Jain, , R. George, Z.D. Mitrović
Published in Hindawi Limited
2021
Volume: 2021
   
Abstract
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. © 2021 Reena Jain et al.
About the journal
JournalJournal of Function Spaces
PublisherHindawi Limited
ISSN23148896