[HTML][HTML] The application of arbuscular mycorrhizal fungi as microbial biostimulant, sustainable approaches in modern agriculture

W Sun, MH Shahrajabian - Plants, 2023 - mdpi.com
Biostimulant application can be considered an effective, practical, and sustainable
nutritional crop supplementation and may lessen the environmental problems related to …

Survey of the influences of microbial biostimulants on horticultural crops: Case studies and successful paradigms

MH Shahrajabian, SA Petropoulos, W Sun - Horticulturae, 2023 - mdpi.com
Sustainable farming of horticultural plants has been the focus of research during the last
decade, paying significant attention to alarming weather extremities and climate change, as …

On fractal-fractional waterborne disease model: A study on theoretical and numerical aspects of solutions via simulations

H Khan, J Alzabut, A Shah, ZY He, S Etemad… - Fractals, 2023 - World Scientific
Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …

Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via Hilfer fractional derivative

H Joshi, BK Jha - Mathematical Modelling and Numerical Simulation …, 2021 - dergipark.org.tr
Calcium is a vital element in our body and plays a crucial role to moderate the calcium
signalling process. Calcium-dependent protein and flux through the sodium-calcium …

[HTML][HTML] Essential criteria for existence of solution of a modified-ABC fractional order smoking model

H Khan, J Alzabut, JF Gómez-Aguilar… - Ain Shams Engineering …, 2024 - Elsevier
Drug usage has always been a top concern for parents and government officials, harming
younger people's lives in circumstances that cannot be undone. This paper considers a …

Modeling and analysis of sustainable approach for dynamics of infections in plant virus with fractal fractional operator

M Farman, R Sarwar, A Akgul - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, studying a sustainable approach to see the dynamics of infection in the plant
by using a fractal fractional derivative. To depict a time-fractional order plant virus model …

[HTML][HTML] An optimal control problem for mosaic disease via Caputo fractional derivative

M Vellappandi, P Kumar, V Govindaraj… - Alexandria Engineering …, 2022 - Elsevier
In this research article, we derive an optimal control problem for the mosaic disease model
by using the Caputo fractional derivatives. The natural microbial biostimulants (MBs) are …

A complex fractional mathematical modeling for the love story of Layla and Majnun

P Kumar, VS Erturk, M Murillo-Arcila - Chaos, Solitons & Fractals, 2021 - Elsevier
In this article, we provide numerical simulations to show the importance and the effects of
fractional order derivatives in psychological studies. As it is well-known, complex variables …

Fractional time-delay mathematical modeling of Oncolytic Virotherapy

P Kumar, VS Erturk, A Yusuf, S Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
An emerging treatment tool which uses replication-competent viruses to dissipate cancers
without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the …

A delayed plant disease model with Caputo fractional derivatives

P Kumar, D Baleanu, VS Erturk, M Inc… - Advances in Continuous …, 2022 - Springer
We analyze a time-delay Caputo-type fractional mathematical model containing the infection
rate of Beddington–DeAngelis functional response to study the structure of a vector-borne …