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Journal Articles

Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

Asterios Pantokratoras

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2023, 18(11): 115501.

Paper No: CND-23-1031

https://doi.org/10.1115/1.4063336

Published Online: September 14, 2023

View Article titled, Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

Topics: Errors, Flow (Dynamics), Mixed convection, Plates (structures), Viscosity, Fluids, Gravity (Force), Physics, Differential equations, Kinematics

Journal Articles

New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel

Zaid Odibat, Dumitru Baleanu

J. Comput. Nonlinear Dynam. September 2023, 18(9): 091007.

Paper No: CND-22-1149

https://doi.org/10.1115/1.4062747

Published Online: July 12, 2023

View Article titled, New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel

Topics: Algorithms, Differential equations

Journal Articles

A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Ioannis Dassios, Georgios Tzounas, Federico Milano

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071006.

Paper No: CND-22-1321

https://doi.org/10.1115/1.4062300

Published Online: April 21, 2023

View Article titled, A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Topics: Biology, Decision making, Differential equations, Energy sustainability, Linear systems, Logistics, Modeling, Radiological dispersal devices, Storage, Theorems (Mathematics)

Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang

J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.

Paper No: CND-22-1240

https://doi.org/10.1115/1.4057041

Published Online: March 20, 2023

View Article titled, Define the Lyapunov Exponents for ψ -Fractional Differential System

Topics: Differential equations, Eigenvalues, Jacobian matrices, Theorems (Mathematics), Volterra equations, Separation (Technology), Attractors, Computation

Journal Articles

The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Wafia Fafa, Zaid Odibat, Nabil Shawagfeh

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021004.

Paper No: CND-22-1127

https://doi.org/10.1115/1.4056392

Published Online: December 19, 2022

View Article titled, The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Topics: Differential equations, Approximation

Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.

Paper No: CND-21-1340

https://doi.org/10.1115/1.4056254

Published Online: December 9, 2022

View Article titled, Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Topics: Algorithms, Differential equations, Approximation, Partial differential equations

Journal Articles

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Luning Fang, Alexandra Kissel, Ruochun Zhang, Dan Negrut

J. Comput. Nonlinear Dynam. January 2023, 18(1): 014501.

Paper No: CND-22-1206

https://doi.org/10.1115/1.4056183

Published Online: November 17, 2022

View Article titled, On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Topics: Equations of motion, Friction, Jacobian matrices, Multibody dynamics, Pendulums, Computation, Simulation, Kinematics, Computer software, Differential algebraic equations

Journal Articles

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Ping Zhou, Hui Ren

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.

Paper No: CND-21-1358

https://doi.org/10.1115/1.4054801

Published Online: June 22, 2022

View Article titled, Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Topics: Constraint equations, Equations of motion, Parametrization, Rotation, Stability, Dynamics (Mechanics), System dynamics, Differential equations

Journal Articles

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.

Paper No: CND-21-1167

https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

View Article titled, A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction

Journal Articles

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Muhammad Farman, Muhammad Aslam, Ali Akgül, Fahd Jarad

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071007.

Paper No: CND-21-1148

https://doi.org/10.1115/1.4054347

Published Online: May 18, 2022

View Article titled, On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Topics: Chemistry, Differential equations, Fractals

Journal Articles

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Uddhaba Biswal, S. Chakraverty, Bata Krushna Ojha

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081002.

Paper No: CND-21-1360

https://doi.org/10.1115/1.4054154

Published Online: April 1, 2022

View Article titled, Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Topics: Flow (Dynamics), Inverse problems, Nanofluids, Nanoparticles, Boundary-value problems, Approximation, Differential equations

Journal Articles

On Solutions of Fractional Telegraph Model With Mittag–Leffler Kernel

Ali Akgül, Mahmut Modanli

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021006.

Paper No: CND-21-1188

https://doi.org/10.1115/1.4053036

Published Online: December 21, 2021

View Article titled, On Solutions of Fractional Telegraph Model With Mittag–Leffler Kernel

Topics: Stability, Finite difference methods, Differential equations

Journal Articles

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Rajarama Mohan Jena, Snehashish Chakraverty

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021001.

Paper No: CND-21-1192

https://doi.org/10.1115/1.4052788

Published Online: November 17, 2021

View Article titled, Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Topics: Differential equations, Interpolation, Polynomials, Springs, Stability, Error analysis

Journal Articles

A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Masataka Fukunaga

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101003.

Paper No: CND-21-1064

https://doi.org/10.1115/1.4051336

Published Online: August 11, 2021

View Article titled, A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Topics: Differential equations, Laplace transforms

Journal Articles

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Mine Aylin Bayrak, Ali Demir

J. Comput. Nonlinear Dynam. August 2021, 16(8): 081001.

Paper No: CND-20-1133

https://doi.org/10.1115/1.4051284

Published Online: June 16, 2021

View Article titled, Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Topics: Differential equations, Polynomials, Schrödinger equation

Journal Articles

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Changpin Li, Chuntao Yin

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071002.

Paper No: CND-21-1026

https://doi.org/10.1115/1.4051024

Published Online: May 18, 2021

View Article titled, An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Topics: Differential equations, Eigenvalues

Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Philipp Eichmeir, Karin Nachbagauer, Thomas Lauß, Karim Sherif, Wolfgang Steiner

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031003.

Paper No: CND-20-1290

https://doi.org/10.1115/1.4049334

Published Online: January 22, 2021

View Article titled, Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Topics: Algorithms, Boundary-value problems, Differential equations, Dynamic systems, Errors, Optimal control, Optimization, Robots, Time optimal control, Pendulums

Journal Articles

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Haile Habenom, D. L. Suthar, D. Baleanu, S. D. Purohit

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011004.

Paper No: CND-20-1199

https://doi.org/10.1115/1.4048475

Published Online: October 29, 2020

View Article titled, A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Topics: Computer simulation, Differential equations, Diseases, Dynamics (Mechanics), Equilibrium (Physics), Polynomials, Stability, Nonlinear equations, Mathematical analysis, Matlab

Journal Articles

Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Orestes Tumbarell Aranda, Fernando A. Oliveira

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101009.

Paper No: CND-20-1087

https://doi.org/10.1115/1.4047990

Published Online: August 26, 2020

View Article titled, Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Topics: Density, Differential equations, Dynamics (Mechanics), Pattern formation

Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.

Paper No: CND-19-1329

https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

View Article titled, Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)

Journal citation

NARROW

Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel

A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Define the Lyapunov Exponents for ψ -Fractional Differential System

The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

On Solutions of Fractional Telegraph Model With Mittag–Leffler Kernel

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

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