Optimal Solutions of System of ( j, φ ) $$(j, \varphi )$$ -Hilfer FDEs via Best Proximity Point Using MNC

Pradip R. Patle, Moosa Gabeleh (), D. R. Abed Al-Zuhairi () and Vladimir Rakočević ()
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Pradip R. Patle: VIT-AP University
Moosa Gabeleh: Ayatollah Boroujerdi University
D. R. Abed Al-Zuhairi: University of Diyala
Vladimir Rakočević: University of Niš

Chapter Chapter 14 in Analysis, Approximation, Optimization: Computation and Applications, 2025, pp 257-273 from Springer

Abstract: Abstract In this work, we study the existence of optimal solutions of a system of differential equations involving the ( j , φ ) $$(j, \varphi )$$ -Hilfer fractional derivative. This goal is achieved by means of the existence of best proximity point for the cyclic operator defined from the system of fractional differential equations. In addition, we prove the new best proximity point (pair) results for novel classes of cyclic (noncyclic) mappings. The concept of measure of noncompactness is used to derive the results which make it more general.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-85743-0_14

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DOI: 10.1007/978-3-031-85743-0_14

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