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Fractional boundary value problem in complex domain

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dc.contributor.author Agarwal, Shivi
dc.contributor.author Mathur, Trilok
dc.date.accessioned 2023-08-08T09:16:47Z
dc.date.available 2023-08-08T09:16:47Z
dc.date.issued 2023-10
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0022247X23001816
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11228
dc.description.abstract Fractional calculus of complex order in complex domain has emerged as a brand-new area of study. Over the past few years, fractional boundary value problems (FBVP) in real variables have been extensively studied but there are few attempts on these types of problems in complex variables. In this study, the existence and uniqueness for the solutions of fractional differential equation (FDE) in complex domain with boundary conditions is examined. We established the existence of solutions using the Krasnoselskii fixed point theorem; however, the uniqueness result is proved by applying the Banach contraction principle. To explain our findings, an illustrative example is presented. The special cases of the derived findings are equivalent to the theorems that already exist. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Mathematics en_US
dc.subject Fractional Differential Equation en_US
dc.subject FBVP en_US
dc.subject Fixed point theorem en_US
dc.title Fractional boundary value problem in complex domain en_US
dc.type Article en_US


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