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Journal Articles

On a Generalized Class of Nonsingular Kernel Operators and Their Singular Kernel Extensions: Useful Modeling Insights

Zaid Odibat, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2024, 19(12): 121008.

Paper No: CND-23-1350

https://doi.org/10.1115/1.4066571

Published Online: October 18, 2024

View Article titled, On a Generalized Class of Nonsingular Kernel Operators and Their Singular Kernel Extensions: Useful Modeling Insights

Topics: Differential equations, Modeling, Laplace transforms, Theorems (Mathematics)

Journal Articles

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

Zaid Odibat, Dumitru Baleanu

Publisher: ASME

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

Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

Jagdev Singh, Arpita Gupta, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2023, 18(9): 091001.

Paper No: CND-22-1327

https://doi.org/10.1115/1.4062391

Published Online: May 25, 2023

View Article titled, Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

Topics: Acoustics, Computer simulation, Dust, Dynamics (Mechanics), Electromagnetic radiation, Laplace transforms, Plasma physics, Reliability, Theorems (Mathematics), Wave propagation

Journal Articles

On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel

Anh Tuan Nguyen, Van Tien Nguyen, Dumitru Baleanu, Van Thinh Nguyen

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2023, 18(5): 051006.

Paper No: CND-22-1113

https://doi.org/10.1115/1.4062198

Published Online: April 5, 2023

View Article titled, On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel

Topics: Diffusion (Physics), Space, Dimensions, Theorems (Mathematics)

Journal Articles

Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2023, 18(4): 041001.

Paper No: CND-22-1176

https://doi.org/10.1115/1.4056857

Published Online: March 2, 2023

View Article titled, Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Topics: Computer simulation, Errors, Stability, Approximation

Journal Articles

From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

Luis Vázquez, M. Pilar Velasco, Dumitru Baleanu, J. Luis Vázquez-Poletti, Salvador Jiménez

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2022, 17(8): 080801.

Paper No: CND-21-1355

https://doi.org/10.1115/1.4054153

Published Online: April 1, 2022

View Article titled, From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

Topics: Approximation, Schrödinger equation, Wave equations, Fractals, Maxwell equations, Cloud computing, Electromagnetic wave propagation, Wavelength

Journal Articles

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Muhammad Bilal Riaz, Adil Jhangeer, Jan Awrejcewicz, Dumitru Baleanu, Sana Tahir

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031002.

Paper No: CND-21-1067

https://doi.org/10.1115/1.4052876

Published Online: December 6, 2021

View Article titled, Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Topics: Algebra, Optical fiber, Solitons

Journal Articles

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

P. Veeresha, D. G. Prakasha, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011002.

Paper No: CND-19-1399

https://doi.org/10.1115/1.4048577

Published Online: October 29, 2020

View Article titled, An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

Topics: Algorithms, Laplace transforms, Rotation, Theorems (Mathematics), Thermoelasticity

Journal Articles

An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

P. Veeresha, D. G. Prakasha, Devendra Kumar, Dumitru Baleanu, Jagdev Singh

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071003.

Paper No: CND-19-1458

https://doi.org/10.1115/1.4046898

Published Online: April 29, 2020

View Article titled, An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

Topics: Algorithms, Errors, Korteweg-de Vries equation, Reliability, Simulation, Water, Waves, Electromagnetic weapons, Computational methods

Journal Articles

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2020, 15(6): 061005.

Paper No: CND-19-1288

https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

View Article titled, Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis

Journal Articles

Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid

Bhuvnesh Sharma, Sunil Kumar, Carlo Cattani, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011009.

Paper No: CND-19-1131

https://doi.org/10.1115/1.4045406

Published Online: November 27, 2019

View Article titled, Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid

Topics: Flow (Dynamics), Fluids, Heat flux, Temperature, Shear (Mechanics), Prandtl number, Nonlinear dynamics

Journal Articles

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Feras Yousef, Marwan Alquran, Imad Jaradat, Shaher Momani, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2019, 14(11): 111008.

Paper No: CND-19-1086

https://doi.org/10.1115/1.4044585

Published Online: September 23, 2019

View Article titled, New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Topics: Diffusion (Physics), Partial differential equations

Journal Articles

A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

Zaher Rahimi, Wojciech Sumelka, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061004.

Paper No: CND-18-1376

https://doi.org/10.1115/1.4043085

Published Online: April 8, 2019

View Article titled, A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

Topics: Buckling, Galerkin method

Journal Articles

New Aspects of Immunogenic Tumors Within Different Fractional Operators

Malik Zaka Ullah, Eman S Al-Aidarous, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041009.

Paper No: CND-18-1354

https://doi.org/10.1115/1.4042637

Published Online: February 15, 2019

View Article titled, New Aspects of Immunogenic Tumors Within Different Fractional Operators

Topics: Tumors, Dynamics (Mechanics)

Journal Articles

Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

Dumitru Baleanu, Tamas Kalmar-Nagy, Themistoklis P. Sapsis, Hiroshi Yabuno

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2018, 13(9): 090301.

Paper No: CND-18-1260

https://doi.org/10.1115/1.4040569

Published Online: July 26, 2018

View Article titled, Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

Topics: Dynamics (Mechanics), Nonlinear dynamics, Modeling

Journal Articles

Global Sliding Mode Control Via Linear Matrix Inequality Approach for Uncertain Chaotic Systems With Input Nonlinearities and Multiple Delays

Mona Afshari, Saleh Mobayen, Rahman Hajmohammadi, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2018, 13(3): 031008.

Paper No: CND-17-1041

https://doi.org/10.1115/1.4038641

Published Online: January 12, 2018

View Article titled, Global Sliding Mode Control Via Linear Matrix Inequality Approach for Uncertain Chaotic Systems With Input Nonlinearities and Multiple Delays

Topics: Delays, Linear matrix inequalities, Sliding mode control, Stability, Design, Control equipment, State estimation, Errors, Simulation results, Uncertainty

Journal Articles

An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems

Mojtaba Hajipour, Amin Jajarmi, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021013.

Paper No: CND-16-1533

https://doi.org/10.1115/1.4038444

Published Online: December 7, 2017

View Article titled, An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems

Topics: Delays, Equilibrium (Physics), Stability

Journal Articles

Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

Dumitru Baleanu, Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021011.

Paper No: CND-17-1216

https://doi.org/10.1115/1.4037765

Published Online: November 20, 2017

View Article titled, Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

Topics: Differential equations, Partial differential equations, Theorems (Mathematics), Generators

Journal Articles

Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

Dumitru Baleanu, Tamás Kalmár-Nagy, Themistoklis P. Sapsis, Hiroshi Yabuno

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2017, 12(4): 048001.

Paper No: CND-17-1124

https://doi.org/10.1115/1.4036422

Published Online: April 27, 2017

View Article titled, Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

Topics: Nonlinear dynamical systems, Nonlinear dynamics

Journal Articles

On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern

Mehdi Nategh, Dumitru Baleanu, Mohammad Reza Valinejad

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2017, 12(4): 041008.

Paper No: CND-16-1378

https://doi.org/10.1115/1.4035078

Published Online: January 20, 2017

View Article titled, On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern

Topics: Chaos, Electromagnetic induction, Encryption

Journal citation

NARROW

On a Generalized Class of Nonsingular Kernel Operators and Their Singular Kernel Extensions: Useful Modeling Insights

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

Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel

Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

New Aspects of Immunogenic Tumors Within Different Fractional Operators

Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

Global Sliding Mode Control Via Linear Matrix Inequality Approach for Uncertain Chaotic Systems With Input Nonlinearities and Multiple Delays

An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems

Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

Special Issue: Nonlinear Dynamics: Models, Behavior, and Techniques

On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern

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