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John R. Graef
Affiliation : University of Tennessee at Chattanooga
- 45Publications (affiliation in the United States)
- 489Total publications
- 6352Citations
- 35h-index
Research profile
John R. Graef has 45 indexed publications (2002–2025). Their work appears mainly in “Fractal and Fractional”, “Dynamic Systems and Applications” and “Electronic journal of qualitative theory of differential equations”. Their most cited article, “Existence results for boundary value problems with non-linear fractional differential equations” (2008), has been cited 238 times. 15 of these publications date from the last three years of activity. Their work is co-authored with at least 3 researchers, including institutions in Algeria.
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Create my free profile Add my publicationsResearch areas
- Nonlinear Differential Equations Analysis
- Advanced Differential Equations and Dynamical Systems
- Differential Equations and Boundary Problems
- Meromorphic and Entire Functions
- Fixed Point Theorems Analysis
Publications (45)
- Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem
- Existence of solutions to a coupled system of implicit fractional differential equations with nonlocal boundary conditions
- Multivalued Contraction Fixed-Point Theorem in b-Metric Spaces
- Existence of positive solutions to a class of boundary value problems with derivative dependence on the half-line
- A Comprehensive Study of the Langevin Boundary Value Problems with Variable Order Fractional Derivatives
- Existence of positive solutions to impulsive nonlinear differential systems of second order with two point boundary conditions
- Impulsive Fractional Boundary Value Differential Inclusions Having a Caputo-Hadamard Derivative
- Existence of Solutions to a Generalized Boundary Value Problem on The Half-Line
- Some Linear and Nonlinear Fractional Integral Inequalities
- A Generalized Lyapunov Inequality for a Pantograph Boundary Value Problem Involving a Variable Order Hadamard Fractional Derivative
- Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory
- Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory
- Existence Results for Impulsive Caputo-Hadamard Fractional Differential Equations with Integral Boundary Conditions
- Solitons in several space dimensions with variable exponents
- SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS ON THE HALF-LINE
- Boundary Value Problem for Fractional q-Difference Equations with Integral Conditions in Banach Spaces
- Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball
- Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions
- Initial value problem for hybrid $$\psi $$-Hilfer fractional implicit differential equations
- Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with $$\psi $$-Caputo derivative
- Oscillation and Nonoscillation Results for the Caputo Fractional q-Difference Equations and Inclusions
- Generalizations of the Nonlinear Henry Inequality and the Leray–Schauder Type Fixed Point Theorem with Applications to Fractional Differential Inclusions
- Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses
- Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations
- Existence results for systems of second-order impulsive differential equations
- Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay
- Coupled systems of Hilfer fractional differential inclusions in banach spaces
- Stability and Square Integrability of Solutions to third order Neutral Delay Differential Equations
- Boundary Value Problems for Nonlinear Implicit Caputo–Hadamard-Type Fractional Differential Equations with Impulses
- Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces
- Qualitative behavior of solutions of a third order nonlinear differential equation
- EXISTENCE, UNIQUENESS, COMPACTNESS OF THE SOLUTION SET, AND DEPENDENCE ON A PARAMETER FOR AN IMPULSIVE PERIODIC BOUNDARY VALUE PROBLEM
- Global existence and stability for second order functional evolution equations with infinite delay
- Multivalued versions of a Krasnosel’skii-type fixed point theorem
- Fractional differential inclusions in the Almgren sense
- Functional Differential Equations With Delay and Random Effects
- Integro-Differential Equations of Fractional Order
- Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces
- Existence results for boundary value problems with non-linear fractional differential equations
- Existence results for functional semilinear differential inclusions in Fréchet spaces
- Extremal solutions for nonresonance impulsive functional dynamic equations on time scales
- Some existence and uniqueness results for first‐order boundaryvalue problems for impulsive functional differential equationswith infinite delay in Fréchet spaces
- Oscillatory and nonoscillatory solutions of multivalued differential inclusions
- Nonresonance impulsive functional differential inclusions with variable times
- Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
Publication venues
- Fractal and Fractional × 4
- Dynamic Systems and Applications × 4
- Electronic journal of qualitative theory of differential equations × 4
- Mathematics × 2
- Studia Universitatis Babes-Bolyai Matematica × 2
- International Journal of Dynamical Systems and Differential Equations × 2
Publications per year
- 20252
- 20247
- 20236
- 20223
- 20214
- 20202
- 20192
- 20182
- 20174
- 20162
Collaborations
Partner institutions : École Normale Supérieure de Kouba · Baylor University · Université Djilali de Sidi Bel Abbès
Co-authors’ countries : Algeria
Co-authors
Bibliographic data from OpenAlex (open database).
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