Details

Autor(en) / Beteiligte

• Qureshi, Sania
• Aziz, Shaheen

Titel

Fractional modeling for a chemical kinetic reaction in a batch reactor via nonlocal operator with power law kernel

Ist Teil von

• Physica A, 2020-03, Vol.542, p.123494, Article 123494

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Various physical systems exhibit non-Markovian (hereditary and memory effects) characteristics in their very inherent structures. In this research study, the fractional (non-classical) differential operator of Caputo’s type is used to analyze such a physical system representing chemical kinetic reactions in a batch reactor. The governing system of fractional order equations under Caputo’s type derivative is formulated and later solved via Laplace integral transform and its inversion. Analytically obtained general solutions of the governing equations are expressed in the form of special Mittag-Leffler function and power series expansion with double summation. During fractionalization, the dimensional analysis has been taken care of and the results are graphically illustrated. The obtained simulation results for varying values of fractional-order α represented various behavior with the fractional Caputo’s type governing equations for the concentration of three species. In other words, varying memory effects are observed during simulations of the model based upon different values of α and the rate constants. The classical model is retrieved for the limiting case when α→1. •A system related with chemical kinetic reactions under Caputo fractional operator is proposed.•Exact closed form solutions for the concentration profiles are achieved.•Laplace integral transform and its inversion with convolution property is employed.•Variation in fractional order alpha and rate constants reveal advantages of the fractional model.•Varying behavior in concentration profiles is observed in the fractionalized model.