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A study on fractional HIV‐AIDs transmission model with awareness effect
Sunil Kumar, Ram P. Chauhan, Mohamed S. Osman and S. A. Mohiuddine Mathematical Methods in the Applied Sciences 46(7) 8334 (2023) https://doi.org/10.1002/mma.7838
Approximate solution of space fractional order diffusion equations by Gegenbauer collocation and compact finite difference scheme
Kazeem Issa, Steven Ademola Olorunnisola, Tajudeen Aliu and Adeshola Adeniran Dauda Journal of the Nigerian Society of Physical Sciences 1368 (2023) https://doi.org/10.46481/jnsps.2023.1368
Advances in Mathematical Modelling, Applied Analysis and Computation
Manish Kumar Bansal, Devendra Kumar and Junesang Choi Lecture Notes in Networks and Systems, Advances in Mathematical Modelling, Applied Analysis and Computation 415 141 (2023) https://doi.org/10.1007/978-981-19-0179-9_7
On the Solution of Fractional Biswas–Milovic Model via Analytical Method
Pongsakorn Sunthrayuth, Muhammad Naeem, Nehad Ali Shah, Rasool Shah and Jae Dong Chung Symmetry 15(1) 210 (2023) https://doi.org/10.3390/sym15010210
A New Fuzzy Reinforcement Learning Method for Effective Chemotherapy
Fawaz E. Alsaadi, Amirreza Yasami, Christos Volos, Stelios Bekiros and Hadi Jahanshahi Mathematics 11(2) 477 (2023) https://doi.org/10.3390/math11020477
Application of an Optimal Control Therapeutic Approach for the Memory-Regulated Infection Mechanism of Leprosy through Caputo–Fabrizio Fractional Derivative
Advances in Mathematical Modelling, Applied Analysis and Computation
D. L. Suthar, Hafte Amsalu, M. Bohra, K. A. Selvakumaran and S. D. Purohit Lecture Notes in Networks and Systems, Advances in Mathematical Modelling, Applied Analysis and Computation 415 385 (2023) https://doi.org/10.1007/978-981-19-0179-9_23
Analytical approximate solutions of fractional nonlinear Drinfeld–Sokolov–Wilson model using modified Mittag–Leffler function
Control and Measurement Applications for Smart Grid
Amit Prakash and Hardish Kaur Lecture Notes in Electrical Engineering, Control and Measurement Applications for Smart Grid 822 465 (2022) https://doi.org/10.1007/978-981-16-7664-2_38
Optical soliton solutions of nonlinear time fractional Biswas–Milovic equation
On Certain New Results of Fractional Calculus Involving Product of Generalized Special Functions
Sanjay Bhatter, Amit Mathur, Devendra Kumar and Jagdev Singh International Journal of Applied and Computational Mathematics 8(3) (2022) https://doi.org/10.1007/s40819-022-01253-0
Analysis and numerical simulation of fractional order pine wilt disease model
Viswanathan Padmavathi, Kandaswami Alagesan, Awatif Alhowaity, et al. International Journal of Modern Physics B 36(29) (2022) https://doi.org/10.1142/S0217979222502046
Numerical Modeling and Symmetry Analysis of a Pine Wilt Disease Model Using the Mittag–Leffler Kernel
V. Padmavathi, N. Magesh, K. Alagesan, M. Ijaz Khan, Samia Elattar, Mamdooh Alwetaishi and Ahmed M. Galal Symmetry 14(5) 1067 (2022) https://doi.org/10.3390/sym14051067
Stochastic optical solitons with multiplicative white noise via Itô calculus
Analysis and Simulation of Fractional Order Smoking Epidemic Model
Aqeel Ahmad, Muhammad Farman, Abdul Ghafar, et al. Computational and Mathematical Methods in Medicine 2022 1 (2022) https://doi.org/10.1155/2022/9683187
On the oscillation of kernel function dependent fractional integrodifferential equations
Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques
P. Veeresha, D. G. Prakasha, N. Magesh, M. M. Nandeppanavar and A. John Christopher Waves in Random and Complex Media 31(6) 1141 (2021) https://doi.org/10.1080/17455030.2019.1651461
Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator
Ritu Agarwal, Kritika, Sunil Dutt Purohit and Devendra Kumar Discrete & Continuous Dynamical Systems - S 14(10) 3387 (2021) https://doi.org/10.3934/dcdss.2021017
A Caputo–Fabrizio Fractional-Order Model of HIV/AIDS with a Treatment Compartment: Sensitivity Analysis and Optimal Control Strategies
Hua Wang, Hadi Jahanshahi, Miao-Kun Wang, Stelios Bekiros, Jinping Liu and Ayman A. Aly Entropy 23(5) 610 (2021) https://doi.org/10.3390/e23050610
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
Mehmet Yavuz, Tukur Abdulkadir Sulaiman, Fuat Usta and Hasan Bulut Mathematical Methods in the Applied Sciences 44(9) 7538 (2021) https://doi.org/10.1002/mma.6343
Computation of complex fields of perturbed $$(2+1)$$-dimensional Schrödinger’s hyperbolic equation
On the Complex Simulations With Dark–Bright to the Hirota–Maccari System
Gulnur Yel, Carlo Cattani, Haci Mehmet Baskonus and Wei Gao Journal of Computational and Nonlinear Dynamics 16(6) (2021) https://doi.org/10.1115/1.4050677
Porous effects on the fractional modeling of magnetohydrodynamic pulsatile flow: an analytic study via strong kernels
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme
Yones Esmaeelzade Aghdam, Hamid Safdari, Yaqub Azari, Hossein Jafari and Dumitru Baleanu Discrete & Continuous Dynamical Systems - S 14(7) 2025 (2021) https://doi.org/10.3934/dcdss.2020402
Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel
V. Padmavathi, A. Prakash, K. Alagesan and N. Magesh Mathematical Methods in the Applied Sciences 44(2) 1863 (2021) https://doi.org/10.1002/mma.6886
Some new bounds analogous to generalized proportional fractional integral operator with respect to another function
New Extension of Fractional-Calculus Results Associated with Product of Certain Special Functions
Sanjay Bhatter, Amit Mathur, Devendra Kumar and Jagdev Singh International Journal of Applied and Computational Mathematics 7(3) (2021) https://doi.org/10.1007/s40819-021-01007-4
Generalized Mittag-Leffler Type Function: Fractional Integrations and Application to Fractional Kinetic Equations
A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type
Yazid Gouari, Zoubir Dahmani and Mehmet Zeki Sarikaya Mathematical Methods in the Applied Sciences 43(11) 6938 (2020) https://doi.org/10.1002/mma.6444
A time‐fractional competition ecological model with cross‐diffusion
J. Manimaran, L. Shangerganesh and Amar Debbouche Mathematical Methods in the Applied Sciences 43(8) 5197 (2020) https://doi.org/10.1002/mma.6260
Certain fractional calculus and integral transform results of incomplete ℵ‐functions with applications
Manish Kumar Bansal, Devendra Kumar, K. S. Nisar and Jagdev Singh Mathematical Methods in the Applied Sciences 43(8) 5602 (2020) https://doi.org/10.1002/mma.6299
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel
On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law
Devendra Kumar, Jagdev Singh and Dumitru Baleanu Mathematical Methods in the Applied Sciences 43(1) 443 (2020) https://doi.org/10.1002/mma.5903
A New Dynamic Scheme via Fractional Operators on Time Scale
Saima Rashid, Muhammad Aslam Noor, Kottakkaran Sooppy Nisar, Dumitru Baleanu and Gauhar Rahman Frontiers in Physics 8 (2020) https://doi.org/10.3389/fphy.2020.00165
Chaos and multiple attractors in a fractal–fractional Shinriki’s oscillator model
Mathematical Modelling in Health, Social and Applied Sciences
Devendra Kumar and Jagdev Singh Forum for Interdisciplinary Mathematics, Mathematical Modelling in Health, Social and Applied Sciences 283 (2020) https://doi.org/10.1007/978-981-15-2286-4_9
The controllability of nonlinear fractional differential system with pure delay
An efficient analytical approach for fractional Lakshmanan‐Porsezian‐Daniel model
Pundikala Veeresha, Doddabhadrappla Gowda Prakasha, Haci Mehmet Baskonus and Gulnur Yel Mathematical Methods in the Applied Sciences (2020) https://doi.org/10.1002/mma.6179
Solution of fractional kinetic equations involving class of functions and Sumudu transform
An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations
Jagdev Singh, Dumitru Baleanu, Devendra Kumar, D. G. Prakasha and P. Veeresha Journal of Computational and Nonlinear Dynamics 15(7) (2020) https://doi.org/10.1115/1.4046898
Arbitrary-order economic production quantity model with and without deterioration: generalized point of view
A new class of conformable spectral observers for signal reconstruction
Jesús Emmanuel Solís‐Pérez, José Francisco Gómez‐Aguilar, Lizeth Torres, Ricardo Fabricio Escobar‐Jiménez and Juan Reyes‐Reyes Mathematical Methods in the Applied Sciences 42(18) 7335 (2019) https://doi.org/10.1002/mma.5847
Oscillation criteria of certain fractional partial differential equations
Double pipe heat exchanger temperatures estimation using fractional observers
M. Alegria-Zamudio, R. F. Escobar-Jiménez, J. F. Gómez-Aguilar, J. García-Morales and J. A. Hernández-Pérez The European Physical Journal Plus 134(10) (2019) https://doi.org/10.1140/epjp/i2019-12939-8
A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws