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Journal Articles

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

Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu

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

Paper No: CND-22-1176

DOI: https://doi.org/10.1115/1.4056857

Published Online: March 2, 2023

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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

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

Paper No: CND-21-1355

DOI: https://doi.org/10.1115/1.4054153

Published Online: April 1, 2022

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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

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

Paper No: CND-21-1067

DOI: https://doi.org/10.1115/1.4052876

Published Online: December 6, 2021

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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

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

Paper No: CND-19-1399

DOI: https://doi.org/10.1115/1.4048577

Published Online: October 29, 2020

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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

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

Paper No: CND-19-1458

DOI: https://doi.org/10.1115/1.4046898

Published Online: April 29, 2020

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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

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

Paper No: CND-19-1288

DOI: https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

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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

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

Paper No: CND-19-1131

DOI: https://doi.org/10.1115/1.4045406

Published Online: November 27, 2019

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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

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

Paper No: CND-19-1086

DOI: https://doi.org/10.1115/1.4044585

Published Online: September 23, 2019

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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

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

Paper No: CND-18-1376

DOI: https://doi.org/10.1115/1.4043085

Published Online: April 8, 2019

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Topics: Buckling, Galerkin method

Journal Articles

New Aspects of Immunogenic Tumors Within Different Fractional Operators

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

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

Paper No: CND-18-1354

DOI: https://doi.org/10.1115/1.4042637

Published Online: February 15, 2019

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Topics: Tumors, Dynamics (Mechanics)

Journal Articles

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

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

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

Paper No: CND-18-1260

DOI: https://doi.org/10.1115/1.4040569

Published Online: July 26, 2018

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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

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

Paper No: CND-17-1041

DOI: https://doi.org/10.1115/1.4038641

Published Online: January 12, 2018

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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

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

Paper No: CND-16-1533

DOI: https://doi.org/10.1115/1.4038444

Published Online: December 7, 2017

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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

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

Paper No: CND-17-1216

DOI: https://doi.org/10.1115/1.4037765

Published Online: November 20, 2017

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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

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

Paper No: CND-17-1124

DOI: https://doi.org/10.1115/1.4036422

Published Online: April 27, 2017

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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

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

Paper No: CND-16-1378

DOI: https://doi.org/10.1115/1.4035078

Published Online: January 20, 2017

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Topics: Chaos, Electromagnetic induction, Encryption

Journal Articles

Numerical Computation of a Fractional Model of Differential-Difference Equation

Devendra Kumar, Jagdev Singh, Dumitru Baleanu

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061004.

Paper No: CND-16-1066

DOI: https://doi.org/10.1115/1.4033899

Published Online: July 8, 2016

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Topics: Algorithms, Carbon nanotubes, Computation, Flow (Dynamics), Heat conduction, Nanoscale phenomena, Biology, Chemistry, Physics

Journal Articles

Improved ( G ' / G ) -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation

Dumitru Baleanu, Yavuz Uğurlu, Mustafa Inc, Bulent Kilic

J. Comput. Nonlinear Dynam. September 2015, 10(5): 051016.

Paper No: CND-14-1220

DOI: https://doi.org/10.1115/1.4029254

Published Online: September 1, 2015

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Topics: Differential equations, Partial differential equations, Traveling waves, Waves

Proceedings Papers

Local Fractional Fourier Series With Applications to Representations of Fractal Signals

Dumitru Baleanu, Xiao-Jun Yang

Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A037, August 4–7, 2013

Paper No: DETC2013-12306

DOI: https://doi.org/10.1115/DETC2013-12306

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Topics: Fourier series, Fractals, Signals

Proceedings Papers

Euler-Lagrange Equations on Cantor Sets

Dumitru Baleanu, Xiao-Jun Yang

Proc. ASME. IDETC-CIE2013, Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A016, August 4–7, 2013

Paper No: DETC2013-12332

DOI: https://doi.org/10.1115/DETC2013-12332

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