Browsing by Author "Panda, Sumati Kumari"

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Citation - WoS: 52
Citation - Scopus: 63
A Numerical Schemes and Comparisons for Fixed Point Results With Applications To the Solutions of Volterra Integral Equations in Dislocated Extended B - Metric Space
(Elsevier, 2020) Karapinar, Erdal; Atangana, Abdon; Panda, Sumati Kumari
In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
Citation - WoS: 48
Citation - Scopus: 62
Solutions of Boundary Value Problems on Extended-Branciari B-Distance
(Springer, 2020) Panda, Sumati Kumari; Mlaiki, Nabil; Abdeljawad, Thabet; Karapinar, Erdal
In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.
Citation - WoS: 17
Citation - Scopus: 24
Extended Suprametric Spaces and Stone-Type Theorem
(Amer inst Mathematical Sciences-aims, 2023) Agarwal, Ravi P.; Karapinar, Erdal; Panda, Sumati Kumari
Extended suprametric spaces are defined, and the contraction principle is established using elementary properties of the greatest lower bound instead of the usual iteration procedure. Thereafter, some topological results and the Stone-type theorem are derived in terms of suprametric spaces. Also, we have shown that every suprametric space is metrizable. Further, we prove the existence of a solution of Ito-Doob type stochastic integral equations using our main fixed point theorem in extended suprametric spaces.
Quasilinear Coupled System in the Frame of Nonsingular Abc-Derivatives With P-Laplacian Operator at Resonance
(Springer Basel Ag, 2024) Jarad, Fahd; Adjabi, Yassine; Panda, Sumati Kumari; Bouloudene, Mokhtar
We investigate the existence of solutions for coupled systems of fractional p-Laplacian quasilinear boundary value problems at resonance given by the Atangana-Baleanu-Caputo (shortly, ABC) derivatives formulations are based on the well-known Mittag-Leffler kernel utilizing Ge's application of Mawhin's continuation theorem. Examples are provided to demonstrate our findings.
Revisiting Generalized Caputo Derivatives in the Context of Two-Point Boundary Value Problems With the P-Laplacian Operator at Resonance
(Springer, 2023) Jarad, Fahd; Bouloudene, Mokhtar; Panda, Sumati Kumari; Adjabi, Yassine
The novelty of this paper is that, based on Mawhin's continuation theorem, we present some sufficient conditions that ensure that there is at least one solution to a particular kind of a boundary value problem with the p-Laplacian and generalized fractional Caputo derivative.
Citation - WoS: 10
Citation - Scopus: 11
Chaotic Attractors and Fixed Point Methods in Piecewise Fractional Derivatives and Multi-Term Fractional Delay Differential Equations
(Elsevier, 2023) Jarad, Fahd; Panda, Sumati Kumari; Abdeljawad, Thabet
Using generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting of non-singular type derivative are established in this paper. In order to demonstrate the effectiveness of our results, we provided some numerical examples.