Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
By Guo-cheng Wu, D. Zeng, Dumitru Băleanu. Fractional Calculus and Applied Analysis, 2019
110 citations recorded by the source corpus.
Abstract Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact solutions which are given by use of piecewise functions. Furthermore, a class of short memory fractional differential equations is proposed and the variable case is discussed. Mittag–Leffler solutions with impulses are derived which both satisfy the equations and impulsive conditions, respectively.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/0322a025fdc7905a451f32d2203c05e833c8d690
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In Applied Mathematics
- Guo-cheng Wu
- Dumitru Băleanu
- Thabet Abdeljawad
- Arran Fernandez
- Fahd Jarad
- Xiao-jun Yang
- Amin Jajarmi
- Pshtiwan Othman Mohammed
In Modeling and Simulation
- Guo-cheng Wu
- Dumitru Băleanu
- Thabet Abdeljawad
- Arran Fernandez
- Abdon Atangana
- Amin Jajarmi
- Mehmet Yavuz
- Pshtiwan Othman Mohammed
In Numerical Analysis
- Guo-cheng Wu
- Dumitru Băleanu
- Arran Fernandez
- Thabet Abdeljawad
- Abdon Atangana
- Pshtiwan Othman Mohammed
- Mehmet Yavuz
- Amin Jajarmi
Citations in the corpus
- Some further results of the laplace transform for variable–order fractional difference equations (2019, background): “We recently proposed a class of short memory fractional differential equations [18, 19].”