Research graph
References from On Differential Equation Models with Memory Effects in Epidemiology. Local targets link to admitted publications; unresolved targets remain external evidence.
A Caputo fractional derivative of a function with respect to another function
10.1016/j.cnsns.2016.09.006 · 2017 · External reference
Tempered fractional calculus
10.1016/j.jcp.2014.04.024 · 2015 · External reference
Unresolved reference
External reference
Unresolved reference
External reference
10.3390/sym14081581
10.3390/sym14081581 · External reference
Initial value problems for Caputo fractional equations with singular nonlinearities
2019 · External reference
Measuring memory with the order of fractional derivative
10.1038/srep03431 · 2013 · External reference
Representations of acting processes and memory effects: General fractional derivative and its application to theory of heat conduction with finite wave speeds
10.1016/j.amc.2018.10.037 · 2019 · External reference
The memory effect on fractional calculus: An application in the spread of COVID-19
10.1007/s40314-021-01456-z · 2021 · External reference
Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model
10.1103/physreve.95.022409 · 2017 · External reference
A Caputo fractional-order SEIHRD model for Ebola: Theoretical analysis, sensitivity, bifurcation, and numerical simulations
10.1038/s41598-026-42467-2 · 2026 · External reference
10.1515/9783110627459
10.1515/9783110627459 · External reference
Nilam: A fractional-order epidemic model with quarantine class and nonmonotonic incidence: Modeling and simulations
10.1007/s40995-022-01339-w · 2022 · External reference
Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19
10.3934/mbe.2021159 · 2021 · External reference
10.1007/1-4020-3647-7_13
10.1007/1-4020-3647-7_13 · External reference
Vaccination control of an epidemic model with time delay and its application to COVID-19
10.1007/s11071-021-06533-w · 2021 · External reference
Solvable delay model for epidemic spreading: The case of Covid-19 in Italy
10.1038/s41598-020-72529-y · 2020 · External reference
10.3390/vaccines11040758
10.3390/vaccines11040758 · External reference
10.3390/app151810267
10.3390/app151810267 · External reference
Dynamic analysis of a Caputo fractional-order SEIR model with a general incidence rate
10.1038/s41598-025-01400-9 · 2025 · External reference
Stability properties of pulse vaccination strategy in SEIR epidemic model
10.1016/s0025-5564(02)00095-0 · 2002 · External reference
Monkeypox viral transmission dynamics and fractional-order modeling with vaccination intervention
10.1142/s0218348x23400960 · 2023 · External reference
Origins of SARS-CoV-1 and SARS-CoV-2 are often poorly explored in leading publications
10.1111/cla.12425 · 2020 · External reference
On a fractional order Ebola epidemic model
10.1186/s13662-015-0613-5 · 2025 · External reference
On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model
10.1016/j.aej.2021.10.016 · 2022 · External reference
Three-strain epidemic model for influenza virus involving fractional derivative and treatment
10.1007/s12190-024-02284-0 · 2025 · External reference
A contribution to the mathematical theory of epidemics
10.1098/rspa.1927.0118 · 1927 · External reference
10.1007/978-1-4899-7612-3
10.1007/978-1-4899-7612-3 · External reference
10.3390/app16115347
10.3390/app16115347 · External reference
10.3390/math14142458
10.3390/math14142458 · External reference
Tempered and Hadamard-type fractional calculus with respect to functions
10.1007/s00009-021-01783-9 · 2021 · External reference
Unresolved reference
External reference
10.1142/6799
10.1142/6799 · External reference
Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications
10.1007/s40324-025-00404-9 · 2026 · External reference
10.1007/978-981-16-0626-7
10.1007/978-981-16-0626-7 · External reference
10.1007/1-4020-3647-7
10.1007/1-4020-3647-7 · External reference
The effect of time delay on the dynamics of a fractional-order epidemic model
10.1186/s13662-025-03868-1 · 2025 · External reference
On generalized fractional operators and related function spaces with applications
10.1016/j.physd.2024.134212 · 2024 · External reference
Boundary problems for the fractional and tempered fractional operators
10.1137/17m1116222 · 2018 · External reference
On tempered fractional calculus with respect to functions and the associated fractional differential equations
10.1002/mma.8441 · 2022 · External reference
The controllability for the tempered fractional-order equation subjected to nonlocal delay and impulsive conditions
2026 · External reference
Subdiffusion equation with Caputo fractional derivative with respect to another function
10.1103/physreve.104.014118 · 2021 · External reference
Unresolved reference
External reference
General fractional integrals and derivatives and their applications
10.1016/j.physd.2023.133906 · 2023 · External reference
10.1142/3779
10.1142/3779 · External reference
New approach to a generalized fractional integral
10.1016/j.amc.2011.03.062 · 2011 · External reference
10.1007/978-3-642-33911-0
10.1007/978-3-642-33911-0 · External reference
Dynamics of SIQR epidemic model with fractional order derivative
10.1016/j.padiff.2021.100216 · 2022 · External reference
Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay
10.1016/j.nonrwa.2010.09.010 · 2011 · External reference
Stability analysis of Caputo fractional-order nonlinear systems revisited
10.1007/s11071-011-0157-5 · 2012 · External reference
Stability results for fractional differential equations with applications to control processing
1996 · External reference
Differential equations with tempered ψ-Caputo fractional derivative
10.3846/mma.2021.13252 · 2021 · External reference
Detailed error analysis for a fractional Adams method
10.1023/b:numa.0000027736.85078.be · 2004 · External reference
A numerical method for delayed fractional-order differential equations
2013 · External reference
On tempered fractional calculus with respect to functions and the associated fractional differential equations
10.1002/mma.8441 · ExternalCitation · doi-reference
10.1007/1-4020-3647-7
10.1007/1-4020-3647-7 · ExternalCitation · doi-reference
10.1007/1-4020-3647-7_13
10.1007/1-4020-3647-7_13 · ExternalCitation · doi-reference
10.1007/978-1-4899-7612-3
10.1007/978-1-4899-7612-3 · ExternalCitation · doi-reference
10.1007/978-3-642-33911-0
10.1007/978-3-642-33911-0 · ExternalCitation · doi-reference
10.1007/978-981-16-0626-7
10.1007/978-981-16-0626-7 · ExternalCitation · doi-reference
Tempered and Hadamard-type fractional calculus with respect to functions
10.1007/s00009-021-01783-9 · ExternalCitation · doi-reference
Stability analysis of Caputo fractional-order nonlinear systems revisited
10.1007/s11071-011-0157-5 · ExternalCitation · doi-reference
Vaccination control of an epidemic model with time delay and its application to COVID-19
10.1007/s11071-021-06533-w · ExternalCitation · doi-reference
Three-strain epidemic model for influenza virus involving fractional derivative and treatment
10.1007/s12190-024-02284-0 · ExternalCitation · doi-reference
The memory effect on fractional calculus: An application in the spread of COVID-19
10.1007/s40314-021-01456-z · ExternalCitation · doi-reference
Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications
10.1007/s40324-025-00404-9 · ExternalCitation · doi-reference
Nilam: A fractional-order epidemic model with quarantine class and nonmonotonic incidence: Modeling and simulations
10.1007/s40995-022-01339-w · ExternalCitation · doi-reference
On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model
10.1016/j.aej.2021.10.016 · ExternalCitation · doi-reference
New approach to a generalized fractional integral
10.1016/j.amc.2011.03.062 · ExternalCitation · doi-reference
Representations of acting processes and memory effects: General fractional derivative and its application to theory of heat conduction with finite wave speeds
10.1016/j.amc.2018.10.037 · ExternalCitation · doi-reference
A Caputo fractional derivative of a function with respect to another function
10.1016/j.cnsns.2016.09.006 · ExternalCitation · doi-reference
Tempered fractional calculus
10.1016/j.jcp.2014.04.024 · ExternalCitation · doi-reference
Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay
10.1016/j.nonrwa.2010.09.010 · ExternalCitation · doi-reference
Dynamics of SIQR epidemic model with fractional order derivative
10.1016/j.padiff.2021.100216 · ExternalCitation · doi-reference
General fractional integrals and derivatives and their applications
10.1016/j.physd.2023.133906 · ExternalCitation · doi-reference
On generalized fractional operators and related function spaces with applications
10.1016/j.physd.2024.134212 · ExternalCitation · doi-reference
Stability properties of pulse vaccination strategy in SEIR epidemic model
10.1016/s0025-5564(02)00095-0 · ExternalCitation · doi-reference
Detailed error analysis for a fractional Adams method
10.1023/b:numa.0000027736.85078.be · ExternalCitation · doi-reference
Solvable delay model for epidemic spreading: The case of Covid-19 in Italy
10.1038/s41598-020-72529-y · ExternalCitation · doi-reference
Dynamic analysis of a Caputo fractional-order SEIR model with a general incidence rate
10.1038/s41598-025-01400-9 · ExternalCitation · doi-reference
A Caputo fractional-order SEIHRD model for Ebola: Theoretical analysis, sensitivity, bifurcation, and numerical simulations
10.1038/s41598-026-42467-2 · ExternalCitation · doi-reference
Measuring memory with the order of fractional derivative
10.1038/srep03431 · ExternalCitation · doi-reference
A contribution to the mathematical theory of epidemics
10.1098/rspa.1927.0118 · ExternalCitation · doi-reference
Subdiffusion equation with Caputo fractional derivative with respect to another function
10.1103/physreve.104.014118 · ExternalCitation · doi-reference
Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model
10.1103/physreve.95.022409 · ExternalCitation · doi-reference
Origins of SARS-CoV-1 and SARS-CoV-2 are often poorly explored in leading publications
10.1111/cla.12425 · ExternalCitation · doi-reference
Boundary problems for the fractional and tempered fractional operators
10.1137/17m1116222 · ExternalCitation · doi-reference
10.1142/3779
10.1142/3779 · ExternalCitation · doi-reference
10.1142/6799
10.1142/6799 · ExternalCitation · doi-reference
Monkeypox viral transmission dynamics and fractional-order modeling with vaccination intervention
10.1142/s0218348x23400960 · ExternalCitation · doi-reference
On a fractional order Ebola epidemic model
10.1186/s13662-015-0613-5 · ExternalCitation · doi-reference
The effect of time delay on the dynamics of a fractional-order epidemic model
10.1186/s13662-025-03868-1 · ExternalCitation · doi-reference
10.1515/9783110627459
10.1515/9783110627459 · ExternalCitation · doi-reference
10.3390/app151810267
10.3390/app151810267 · ExternalCitation · doi-reference
10.3390/app16115347
10.3390/app16115347 · ExternalCitation · doi-reference
10.3390/math14142458
10.3390/math14142458 · ExternalCitation · doi-reference
10.3390/sym14081581
10.3390/sym14081581 · ExternalCitation · doi-reference
10.3390/vaccines11040758
10.3390/vaccines11040758 · ExternalCitation · doi-reference
Differential equations with tempered ψ-Caputo fractional derivative
10.3846/mma.2021.13252 · ExternalCitation · doi-reference
Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19
10.3934/mbe.2021159 · ExternalCitation · doi-reference
