Existence theory and approximate solution to prey-predator coupled system involving nonsingular kernel type derivative

DOI10.1186/s13662-020-02970-wzbMath1486.92144OpenAlexW3088109793MaRDI QIDQ2125754

Manar A. Alqudah, Kamal Shah, Thabet Abdeljawad, Fahd Jarad, Qasem M. Al-Mdallal, Eiman

Publication date: 14 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02970-w

zbMATH Keywords

Laplace transformexistence theoryAdomian methodprey-predator system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Laplace transform (44A10)

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving systems of fractional differential equations by homotopy-perturbation method
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• The global dynamics for an age-structured tuberculosis transmission model with the exponential progression rate
• Blind in a commutative world: simple illustrations with functions and chaotic attractors
• The fractional-order SIS epidemic model with variable population size
• Second-grade fluid model with Caputo-Liouville generalized fractional derivative
• Semi-analytical study of pine wilt disease model with convex rate under Caputo-Febrizio fractional order derivative
• Study of HIV mathematical model under nonsingular kernel type derivative of fractional order
• Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China
• Caputo-Fabrizio operator in terms of integer derivatives: memory or distributed lag?
• Krasnoselskii N-tupled fixed point theorem with applications to fractional nonlinear dynamical system
• Solution of the epidemic model by Adomian decomposition method
• On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
• ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL

This page was built for publication: Existence theory and approximate solution to prey-predator coupled system involving nonsingular kernel type derivative