"An Uncertainty Approach for Impulsive Fractional Differential Equation" by Soheil Salahshour, Morteza Pakdaman et al.

Progress in Fractional Differentiation & Applications

Article Title

An Uncertainty Approach for Impulsive Fractional Differential Equations: Application in Fluid Mechanics

Authors

Soheil Salahshour, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, TurkeyFollow
Morteza Pakdaman, Atmospheric Science and Meteorological Research Center (ASMERC), Climatological Research Institute (CRI), Mashhad, IranFollow
Ali Ahmadian, Institute of Industry Revolution 4.0, National University of Malaysia, 43600 UKM, Bangi, Selangor, MalaysiaFollow

Author Country (or Countries)

Turkey

Abstract

In this manuscript, we will consider an uncertainty approach based on intervals for impulsive fractional differential equations (IFDEs). In this regard, we employ the Laplace transforms and the solution of IFDEs is calculated based on Riemann-Liouville differentiability. Finally, the well-known Bagley-Torvik equation (arises in fluid mechanics), which involves an additive delta function on the interval right-hand side is solved to validate the achieved results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/070406

Recommended Citation

Salahshour, Soheil; Pakdaman, Morteza; and Ahmadian, Ali (2021) "An Uncertainty Approach for Impulsive Fractional Differential Equations: Application in Fluid Mechanics," Progress in Fractional Differentiation & Applications: Vol. 7: Iss. 4, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/070406
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol7/iss4/6

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