Analysis of a new partial integro-differential equation with mixed fractional operators

Abdon Atangana and Seda İğret Araz

Chaos, Solitons & Fractals, 2019, vol. 127, issue C, 257-271

Abstract: We have introduced a new partial integro-differential equation with mixed fractional operators. The differential operator can be taken as Caputo while the integral is consider to be Caputo–Fabrizio or the Atangana–Baleanu integral. We presented the well poseness of the new class of partial differential equation. We presented the conditions which the existence and uniqueness are obtained. We presented the derivation of exact solution under some conditions. We suggested a numerical scheme that will be used to solve such mathematical equations. We presented some illustratives examples.

Keywords: Fractional differentiation; Fractional integration; New numerical schemes; New partial differential equation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:127:y:2019:i:c:p:257-271

DOI: 10.1016/j.chaos.2019.06.005

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