A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley +1 more source
Electronic Journal of Differential Equations, 2016 Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj
Study on generalized fuzzy fractional human liver model with Atangana-Baleanu-Caputo fractional derivative. [PDF]
Eur Phys J Plus, 2022 Verma L, Meher R.
europepmc +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]
Comput Intell Neurosci, 2021 Barakat MA, Soliman AH, Hyder AA.
europepmc +1 more source
A numerical evaluation and regularization of Caputo fractional derivatives [PDF]
, 2011 Ming Li, Xiangtuan Xiong, Y J Wang
openalex +1 more source
The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana
Engineering Reports, Volume 7, Issue 7, July 2025.Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko +5 more
wiley +1 more source
Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives
Advances in Mechanical Engineering, 2016 In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio ...
Dumitru Baleanu +2 more
doaj +1 more source
Caputo-type modification of the Hadamard fractional derivatives [PDF]
, 2012 Fahd Jarad +2 more
openalex +1 more source
A Critical Overview of Common Foodborne Toxicants and Methods for Their Reliable Detection
Food Frontiers, Volume 6, Issue 4, Page 1658-1700, July 2025.ABSTRACT Food is an essential commodity for human health. However, toxicants such as mycotoxins, heavy metals, acrylamide, and pesticides can be present in food either naturally or through processing, packaging, or some anthropogenic activities. A thorough review of carefully selected studies revealed that climate change and pandemics have led to an ...
Betty Bowe Acquah +1 more
wiley +1 more source