Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations

Panda, Sumati Kumari; Abdeljawad, Thabet; Jarad, Fahd

doi:10.1016/j.rinp.2023.106313

Cited by 8 publications

(1 citation statement)

References 24 publications

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“…The idea, which is additionally referred to as the fixed point problem, suggests that a recursive strategy provided by repeating representations under the mapping of any initial point in the metric space would always have a single fixed point that is able to be identified as the limit. The contractive mapping hypothesis is one that has been widely refined at every step of the course of history in many theoretical disciplines (see 9 – 14 ), and currently holds significance for complex scientific fields, computation algorithms, and numerical models.…”

Section: Introductionmentioning

confidence: 99%

Enhancing automic and optimal control systems through graphical structures

Panda,

Khan,

Velusamy

et al. 2024

Sci Rep

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The concept of graphical structures of extended suprametric space is introduced in this study and applied to supra-graphical contractive mapping. A recursive algorithm in connection with graphical notions can be employed in adaptive systems to construct a desired output function iteratively after specific conditions are first defined to ensure the existence of the solution by use of supra-graphical contractive mapping. After analyzing the historical context and relevant outcomes, we discuss the usage of graphical structures and supra-graphical contractive mappings in the conceptual frameworks of adaptive control and optimal control systems.

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Section: Introductionmentioning

confidence: 99%