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Mathematics

D-Index
35
Citations
6106
World Ranking
2745
National Ranking
1121

Overview

John R. Graef is affiliated with the University of Tennessee at Chattanooga in the United States. Their primary research domain is Mathematics, with a focus on subfields including Applied Mathematics, Numerical Analysis, Modeling and Simulation, Control and Systems Engineering, and Computational Theory and Mathematics.

Their work encompasses several key topics related to differential equations, modeling, and numerical methods, specifically:

  • Nonlinear Differential Equations Analysis
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Fractional Differential Equations Solutions
  • Numerical Methods for Differential Equations
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering

John R. Graef has notable publications in multiple journals, with recent papers including:

  • "Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives," 2021, Communications in Nonlinear Science and Numerical Simulation
  • "Stability analysis of a fractional online social network model," 2020, Mathematics and Computers in Simulation

Frequent publication venues where they have contributed multiple papers are:

  • Electronic Journal of Qualitative Theory of Differential Equations
  • Fractal and Fractional
  • Mathematics
  • Dynamic Systems and Applications
  • Journal of Applied Analysis & Computation

The researcher has co-authored with several frequent collaborators, including:

  • Said R. Grace
  • Ercan Tunç
  • Mouffak Benchohra
  • Lingju Kong
  • E. Thandapani

In addition, Graef contributed to academic books, notably the publication:

  • Differential and Difference Equations with Applications, 2020, Springer International Publishing

Best Publications

  • Global dynamics of a SEIR model with varying total population size.

    Unknown

  • Impulsive differential inclusions : a fixed point approach

    John R. Graef;Johnny Henderson;Abdelghani Ouahab

  • Positive solutions for a class of higher order boundary value problems with fractional q-derivatives

    Unknown

  • On the generalized Liénard equation with negative damping

    Unknown

  • Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem

    Unknown

  • A Variational Approach to a Kirchhoff-type Problem Involving Two Parameters

    Unknown

  • A three point boundary value problem for nonlinear fourth order differential equations

    Unknown

  • On the oscillation of third order neutral delay dynamic equations on time scales

    Said R. Grace;John R. Graef;Mohamed A. El-Beltagy

  • Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems

    John.R Graef;Bo Yang

  • Positive solutions to a multi-point higher order boundary value problem

    Unknown

  • Oscillation of Impulsive Neutral Delay Differential Equations

    Unknown

  • A periodic boundary value problem with vanishing Green's function

    Unknown

  • Initial value problem for hybrid $$\psi $$-Hilfer fractional implicit differential equations

    Unknown

  • On a nonlinear boundary value problem for fourth order equations

    Unknown

  • Oscillation and comparison theorems for half-linear second-order difference equations

    Unknown

  • Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations

    Unknown

  • Oscillation theorems for fourth order functional differential equations

    Said R. Grace;Ravi P. Agarwal;John R. Graef

  • Asymptotic behavior of solutions of a second order nonlinear differential equation

    Unknown

  • Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation

    John R. Graef;Ercan Tunҫ;Said R. Grace

  • WEAK SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON REFLEXIVE BANACH SPACES

    Mouffak Benchohra;John R. Graef;Fatima-Zohra Mostefai

  • Existence and uniqueness of solutions for a fractional boundary value problem on a graph

    Unknown

  • Topological Methods for Differential Equations and Inclusions

    John R. Graef;Johnny Henderson;Abdelghani Ouahab

  • Oscillatory behavior of second order nonlinear differential equations with a sublinear neutral term

    Said R. Grace;John R. Graef

  • Boundary Value Problems for Nonlinear Implicit Caputo–Hadamard-Type Fractional Differential Equations with Impulses

    Mouffak Benchohra;Mouffak Benchohra;Soufyane Bouriah;John R. Graef

  • Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses

    Abdelkrim Salim;Mouffak Benchohra;John R. Graef;Jamal Eddine Lazreg

  • Oscillatory behavior of second order damped neutral differential equations with distributed deviating arguments

    Said R. Grace;John R. Graef;Ercan Tunc

  • Oscillation theory of third-order nonlinear functional differential equations

    John R. Graef;Samir H. Saker

  • Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-Type Hadamard derivatives

    John R. Graef;Said R. Grace;Ercan Tunç

  • Double solutions of boundary value problems for 2mth-order differential equations and difference equations

    J.R. Graef;J. Henderson

  • Oscillation of integro-dynamic equations on time scales

    Said R. Grace;John R. Graef;Ağacık Zafer

  • Global existence and stability for second order functional evolution equations with infinite delay

    John Graef;Abdessalam Baliki;Mouffak Benchohra

  • Oscillation and Dynamics in Delay Equations

    John R. Graef;Jack K. Hale

  • Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

    Mouffak Benchohra;John Graef;Johnny Henderson;Sotiris Ntouyas

  • Positive solutions to a fourth order three point boundary value problem

    John R. Graef;Johnny Henderson;Bo Yang

  • Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

    Unknown

  • Oscillatory behavior of second order nonlinear difference equations with a nonlinear nonpositive neutral term

    Said R. Grace;John R. Graef

Frequent Co-Authors

Johnny Henderson
Johnny Henderson Baylor University

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