» Dr. Ajay Kumar

Dr. Ajay Kumar (Faculty)

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Dr. Ajay Kumar

Assistant Professor (Guest),
Department of Humanities and Social Science

7535831695 | [email protected]

Qualifications

Ph.D. (Mathematics)- Hemvati Nandan Bahuguna Garhwal University (A Central University) Srinagar Garhwal Uttarakhand
M. Sc (Mathematics)- Hemvati Nandan Bahuguna Garhwal University (A Central University) Srinagar Garhwal Uttarakhand
B. Sc (PCM Group) Mahatma Jyotiba Phule Rohilkhand University, Bareilly

Subject Expertise

1. Advanced Calculus
2. Real Analysis
3. Linear Algebra
4. Differential equation
5. Complex Analysis
6. Fractional Differential equation

Area Of Research

1. Computational fluid dynamic
2. Partial differential equation
3. Fractional differential equation
4. Fuzzy differential equation
5. Analytical, Numerical Methods, and computer programs such as Mathematica, Matlab, and Maple.

Professional Experience

Assistant Professor (Guest ), BCE Bakhtiyarpur (5-02-2021 to till date)

List Of Publications

1. Ajay Kumar, Amit Prakash, Haci Mehmet Baskonus, The epidemic COVID-19 model via Caputo–Fabrizio fractional operator, Waves in Random and Complex Media, 1-15, 2022
2. Arman Ciancio, Gulnur Yel, Ajay kumar , Haci Mehmet Baskonus, Esin Ihan, On the Complex Mixed Dark-Bright Wave Distributions to some Conformable Nonlinear Integrable Models, Fractals, 30(1),1-14, (2022)
3. Li Yan, Ajay Kumar, Juan Luis García Guirao, Haci Mehmet Baskonus, Wei Gao, Deeper properties of the nonlinear Phi-four and Gross-Pitaevskii equations arising mathematical physics, Modern Physics Letters B, 2021
4. Li Yan, Gulnur Yel, Ajay Kumar, Haci Mehmet Baskonus, Wei Gao, Newly Developed Analytical Scheme and Its Applications to the Some Nonlinear Partial Differential Equations with the Conformable Derivative, Fractal and Fractional, 5(4), 2021
5. Haci Mehmet Baskonus, Juan Luis Garcia Guirao, Ajay kumar, Fernado S. Vidal Causanilles, and German Rodiguez Bermudez, Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications, Advances in Mathematical Physics, 2021
6. Haci Mehmet Baskonus, Juan Luis Garcia Guirao, Ajay kumar, Fernado S. Vidal Causanilles, and German Rodiguez Bermudez, Instability modulation properties of the (2+ 1)-dimensional Kundu–Mukherjee–Naskar model in travelling wave solutions, Modern Physics Letters B, 35(13), 2150217-2021.
7.Ajay Kumar, Esin Ilhan, Armando Ciancio, Gulnur Yel, Haci Mehmet Baskonus, Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation, AIMS Mathematics, 6(5), 4238-4264, 2021.
8. Amit Prakash, Ajay Kumar, Haci Mehmet Baskonus, Ashok Kumar, Numerical analysis of nonlinear fractional Klein-Fock-Gordon equation arising in quantum field theory via Caputo-Fabrizio fractional operator, has been Published for publication in Mathematical Sciences, 03 January 2021, Math Sci (2021).
9. Haci Mehmet Baskonus, Ajay Kumar, Ashok Kumar, Wei Gao, Deeper investigations of the (4+1)-dimensional Fokas and (2 + 1)-dimensional Breaking soliton equations, International Journal of Modern Physics B, 34(17),2050152, 1-16, 2020
10. Juan Luis Garcia Guirao, H.M. Baskonus, Ajay kumar, M.S.Rawat Complex Patterns to the (3+1)-Dimensional B-type Kadomtsev –Petviashvili Boussinesq Equation, Symmetry, 12(17), 1-10, 2020
11. Haci Mehmet Baskonus, Juan Luis Garcia Guirao, Ajay kumar, Fernado S. Vidal Causanilles, and German Rodiguez Bermudez, Complex Mixed dark bright wave patterns to the Modiffed Vakhnenko-Parkes and Modiffed alpha Equations, Alexandria Engineering Journal, 59(4), 2149-2160,2020
12. Juan Luis Garcia Guirao, H.M. Baskonus, Ajay kumar, Regarding new wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order, Mathematics, 8(3), 341, 1-9, 2020
13. Bhim Sean Kala, Madan Singh Rawat, Ajay Kumar, Numerical Analysis of the Flow of a Casson Fluid in Magnetic Field over an Inclined Nonlinearly Stretching Surface with Velocity Slip in a Forchheimer Porous Media, Asian Research Journal of Mathematics, 16(7), 34-58, 2020.
14. Bhim Sen Kala, Madan Singh Rawat, Nimisha Rawat, Ajay Kumar, Numerical analysis of Non-Darcy MHD flow of a Carreau fluid over an exponentially stretching/shrinking Sheet in a porous Medium, 6(2), 295- 303, 2019
15. Km. Renu, Ashok Kumar, Ajay Kumar, Jitendra Kumar, Effect Of Transverse Hydro-magnetic And Media Permeability On Mixed Convective Flow In A Channel Filled By Porous Medium. Special Topics & Reviews in Porous Media - An International Journal, x(x): 1–23 (2020).
16. Haci Mehmet Baskonus, Ajay Kumar, MS Rawat, Bilgin Senel, Gulnur Yel, Mine Senel, Studying on the Complex and Mixed Dark-Bright Travelling Wave Solutions of the Generalized KP-BBM Equation, Advanced Numerical Methods for Differential Equations, CRC Press, 17-38, 2021.
17. Haci Mehmet Baskonus, Mine Senel, Ajay Kumar, Gulnur Yel, Bilgin Senel, Wei Gao, On the Wave Properties of the Conformable Generalized Bogoyavlensky–-Konopelchenko Equation, Handbook of Fractional Calculus for Engineering and Science, Chapman and Hall/CRC, 103-121, 2022.

Conference Attended (National/International)

1. 6th International Conference on Computational Mathematics and Engineering Science,(CMES-2022), 20-22 May 2022, Ordu University- Turkey
2. 5th International Conference on Computational Mathematics and Engineering Science,(CMES-2021), 08-10 June 2021, Van- Turkey
3. International Conference on Differential equation and control Problems: Modeling, Analysis, and Computations (ICDECP19), organized by Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India.
4. 2nd International Conference on Mathematical Modelling, Applied analysis and Computation-2019(ICMMAAC-19). August 8-10,2019 organized by the Department of Mathematics, Faculty of science, JECRC University, Jaipur(Raj.), India.
5. National Conference on Recent Advancements in Natural Products Chemistry and Nanotechnology, October 09-10, 2019 organized by Department of Chemistry, H.N.B.Garhwal University, Birla Campus Srinagar (Garhwal ) Pauri Garhwal (Uttarakhand), India.
6. National Conference on promoting the Advancement of applied Science. October 22-23,2019 organized by the Department of Mathematics, H.N.B.Garhwal University, S.R.T. Campus Badshahi Thaul, Their Garhwal (Uttarakhand), India.
7. International e- Conference on the theme Perspective of Interdisciplinary Research in Science and Technology in the Present Scenario, During May 15-16, 2020, organized by Department of Physics Chaudhary Charan Singh University Meerut, Uttar Pradesh, India.
8. International e- Conference on Recent Trends in Advancement of Mathematical and Physical Sciences, During May 22-23, 2020, organized by Deva Nagri College, Meerut, Chaudhary Charan Singh University Meerut, Uttar Pradesh, India
9. 3rd International Conference on Mathematical Modelling, Applied analysis and Computation-2020 (ICMMAAC-20). (An Online Conference) During August 7-9,2020 organized by the Department of Mathematics, Fuculty of science, JECRC University, Jaipur(Raj.), India.
10.  International Conference on Mathematical Analysis & Applications (MAA-20) (An Online Conference) During November 02-04,2020 organized by Department of Mathematics, NIT Jamshedpur

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