Modeling Exponential Growth and Exponential Decay Real Phenomena by Ψ-Caputo Fractional Derivative
Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 27 Jul 2018
10.9734/JAMCS/2018/43054Abstract
The concept of ‘Ψ - Caputo’ fractional derivative is discussed in this article. This method is based on the fractional derivative in Caputo sense of a function with respect to another function Ψ , called kernel. The kernel function Ψ , is any increasing function such that . Experimental studies are used to support the fact that fractional approach of solving differential equations is often better than the classical ordinary approach. The solution to two exponential decay models and one exponential growth model are built using the classical approach and the kernel approach. Several kernel functions are considered and their performances evaluated.
Cited by 20
Parisa Rahimkhani · Applied Numerical Mathematics · 2025
Mdi Begum Jeelani, Nadiyah Hussain Alharthi · Symmetry · 2024
Umer Saeed · Engineering Computations · 2023
Anastacia Dlamini, Department of Mathematical Sciences, University of South Africa, Florida, 0003, South Africa, Emile F. Doungmo Goufo · AIMS Mathematics · 2021
Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abuasbeh · Journal of Mathematics · 2021
Amir Ali, Abid Ullah Khan, Obaid Algahtani · AIMS Mathematics · 2022
Dandan Yang, Chuanzhi Bai · Discrete Dynamics in Nature and Society · 2019
Kamal Shah, Israr Ahmad, Shafiullah · Open Physics · 2024
Shazia Sadiq, Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan, Mujeeb ur Rehman · Journal of Applied Analysis & Computation · 2022
Sania Qureshi, Abdullahi Yusuf, Shaheen Aziz · Physica Scripta · 2021
Related research
- Effect of Optimization of Cultural Parameters on Exobiopolymer Production by Microbial Isolates and Their Application in Wastewater Treatment — shares topic coverage
- Optimization of β-galactosidase Production from Yogurt and Dairy Soil Associated Bacteria Using Different Fermentation Media — shares topic coverage
- Proteases Production by a Bacterial Isolate Bacillus amyloliquefaciens 35s Obtained from Soil of the Nile Delta of Egypt — shares topic coverage
- Study of Effect of Nutritional Factors for Optimization of Lipase Production by Lipolytic Fungi — shares topic coverage
- Screening of Bacterial Strains of Agricultural Waste Origin for Βeta-mannanase Production and Optimization of Process Parameters — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
20
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.