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Rakesh Kumar Assoc. Prof. Hindu College, Moradabad, UP, 244001
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Research Fields

Mathematical Sciences wavelets Differential equations

Bio

RESEARCH PAPERS :
In Proceedings of conferences
1. Band-limited wavelet packets (with Khalil Ahmad) in “Mathematics and its Applications in Industry and Business” (A. H. Siddiqii and K. Ahmad eds.), pp. 1-16, Narosa Publishing House, New Delhi, London (2000). (ISBN 8173-19274X)
2. Convolution bounds and Convergence of wavelet packet series (with Anil Kumar and Khalil Ahmad) in “Recent Trends in Mathematics and its Applications” (M.R. Khan et al. Eds.), pp. 55-69, World Education Publishers, Delhi (2012). (ISBN 978-81-909873-4-9)
3. Existence of Solutions of Nonlinear Delayed Integro-Differential Equation with Nonlocal condition (with Kamalendra Kumar and R.K. Shukla) in “Advances in Applied Mathematics and Computational Physics” (Rakesh Kumar et. al. Eds.), pp. 227–235, World Education Publishers, Delhi (2013). (ISBN 978-81-909873-7-0)
4. Periodic Walsh type wavelet packet expansion and Representation of differential equations using periodic wavelet packets (with Yogendra Singh and Tarun Kumar Garg) in “Advances in Applied Mathematics and Computational Physics” (Rakesh Kumar et. al. Eds.), pp. 266–279, World Education Publishers, Delhi (2013). (ISBN 978-81-909873-7-0)

In Journals
1. Pointwise convergence of wavelet packet series (with Khalil Ahmad), Atti Sem. Mat. Fis. Univ. Modena 47 (2000), 107-120. (ISSN 0041-8986, eISSN 1825-1269)
2. On Fourier Transforms of Wavelet Packets (with Khalil Ahmad and L. Debnath), Zeit. Anal. Anwend. (Journal of Analysis and Its Applications), 20 (2001), 579-588. (ISSN 0232-2064). SCIE
3. Vector valued wavelet packets for vector valued signal spaces (with Anil Kumar and Shiv Singh) Acta Ciencia Indica, 29 P(3) (2003), 321-326. (ISSN 0253-732X)
4. Certain Characterizations of wavelet packets (with A. M. Jarrah and Khalil Ahmad), Atti Sem. Mat. Fis. Univ. Modena, 53 (2005), 147-164. (ISSN 0041-8986, eISSN 1825-1269)

5. Quasi-positive delta sequences for wavelet packets (with Anil kumar and Shiv Singh), Acta Ciencia Indica, 31 P(4) (2005), 499-507. (ISSN 0253-732X)
6. Existence Unconditional wavelet packet bases for the spaces Lp(R) and H1(R) (with Khalil Ahmad and L. Debnath), Taiwanese J. Mathematics, 10 (2006), 851-863. (ISSN 1027-5487, eISSN 2224-6851) UGC approval no. 22449. SCIE & SCOPUS
7. Image compression using 2-D wavelet packet transform based of Shannon entropy cost function (with Anil Kumar and Preeti Singh), Invertis J. Science & Tech. 2(2) (2008), 100-107. (ISSN 0973-8940) UGC Approval no 47628
8. Well-posedness of a class of parabolic integro-differential equations (with D Bahuguna, R. K. Shukla and Kamalendra Kumar), Journal of International Academy of Physical Sciences 14(4) (2010), 481-485. (ISSN 0974 -9373) reject list 48832
9. Well Posed Cauchy Problems with Delays (with R.K. Shukla, Kamalendra Kumar and Salabh Saxena), Journal of International Academy of Physical Sciences 15(3) (2011), 331-336. (ISSN 0974 -9373) reject list 48832
10. Delayed integro-differential equations (with Kamalendra Kumar), International J. of Mathematics and Analysis, vol. 3(2) (2011), pp. 77 – 88. (ISSN 0973-3604)
11. Global Solution of Delayed Integro-Differential equations (with Kamalendra Kumar), JMI International J. Mathematical Sciences 2(1) (2011), pp. 20–25. (ISSN 0976-5913)
12. Nonlocal parabolic integro-differential equations with delays (with Kamalendra Kumar and R. K. Shukla), International J of Applied Mathematical Research, 1(4) (2012), pp. 549 – 564. (ISSN 2227-4324)
13. Wavelet Analysis of the Solar line-of-sight Mean Magnetic Flux by using Symlet Wavelet: A Continuous Wavelet Transform Approach (with Sachin Kumar and Anil Kumar), Journal of Wavelet Theory and Applications 7(1) (2013), pp. 27-33. (ISSN 0973-6336)
14. Existence of Solutions of Quasilinear Mixed Volterra-Fredholm Integrodifferential Equations with Nonlocal Conditions (with Kamalendra Kumar), Differential Equations and Control Processes 3 (2013), pp. 77-84. (ISSN 1817-2172). SCOPUS
15. Nonlocal Cauchy Problem for Sobolev Type Mixed Volterra-Fredholm Functional Integrodifferential Equation (with Kamalendra Kumar), Journal of Physical Sciences, Vol. 17 (2013), 69-76. (ISSN 0972-8791) Old UGC list No. 63941
16. Nonlocal Cauchy Problem for Integrodifferential Equations of Sobolev Type in Banach Space (with Kamalendra Kumar), MATEMATIKA utm, 2013, Volume 29, Number 2, 179–186. (eISSN 0127 -8274)
17. Spectral Analysis of Biochemical Oxygen Demand in River Water: An Analytical Approach of Discrete Wavelet Transform (with Sachin Kumar, Anil Kumar, J. K. Pathak and Mohd. Alam), American Journal of Mathematics and Statistics 2014, 4(2): 107-112. (ISSN 2162-948X, eISSN 2162-8475)
18. Existence Of Mild And Classical Solutions Of Nonlinear Integrodifferential Equation In Banach Space (Kamalendra Kumar), Kathmandu Uni. J. of Sci. Eng. and Tech., 10(1), Nov. 2014, 32-38. (ISSN 1816-8752)
19. Existence of Solutions of Nonlinear Fractional Integrodifferential Equation with Analytic Semigroup (with Kamalendra Kumar), Int. J. of Modern Mathematical Sciences, 2014, 11(2): 108-117. (ISSN 2166-286X)
20. Quasi-linear Functional Differential equations (Shalabh Saxena and R. K. Shukla), SRMS J. of Mathematical Sciences, 1(1), 2014, pp. 28-38. (ISSN 2394-725X)
21. Existence of Mild Solutions for Semilinear Impulsive Functional Mixed Integro-differential Equations with Nonlocal Conditions(with Kamalendra Kumar), Applications and Applied Mathematics: An International Journal (AAM) Vol. 9(2), 2014 pp. 659-671. (ISSN 1932-9466)
22. Controllability of Sobolev Type Nonlocal Impulsive Mixed Functional Integrodifferential Evolution Systems (with Kamalendra Kumar), EJMAA Vol. 3(1) Jan. 2015, 122—132. (ISSN 2090-729X) UGC approved
23. Fractional Impulsive Quasilinear Mixed Volterra-Fredholm Type Integrodifferential Equations with Nonlocal Condition (with Kamalendra Kumar), Int. J. of Modern Mathematical Sciences, 2015, 13(1): 39-51. (ISSN 2166-286X)
24. Existence of solutions of fractional integrodifferential system with nonlocal conditions (with Kamalendra Kumar), IIUM Engineering Journal, Vol. 16 (1), 2015, pp. 33-41, (ISSN 1511-788X, eISSN 2289-7860) SCOPUS Impact factor 0.45
25. Controllability Results for general Integrodifferential Evolution Equations in Banach Space (with Kamalendra Kumar and Manoj Karnataka), Differential Equations and Control Processes 3 (2015), pp. 1-15. (ISSN 1817-2172) SCOPUS
26. A Physical Study of River Ramganga by using Complex Morlet wavelets, (with Sachin Kumar and Yogendra Singh) SRMS J. of Mathematical Sciences, 2(1), 2015, pp. 11-17. (ISSN 2394-725X)
27. Existence of a mild solution for neutral fractional integro-differential equations with nonlocal conditions (with Kamalendra Kumar), Journal of Fractional Calculus and Applications, Vol. 7(2) July 2016, pp. 51-64. ISSN: 2090-5858. (ISSN 2090-5858) UGC approved
28. On mild solutions of a semilinear mixed Volterra-Fredholm functional integrodifferential evolution nonlocal problem in Banach Spaces, (with Kamalendra Kumar and Manoj Karnatak), MATEMATIKA UTM, 2016, Volume 33, Number 2, 133–140. (eISSN 0127 -8274)
29. Impulsive Fractional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces, (with Kamalendra Kumar), Asian Journal of Mathematics and Computer research, 2017, Vol. 15(3), pp. 239-253. (ISSN 2395-4205, eISSN 239542-13)
30. Boundary controllability of delay differential systems of fractional order with nonlocal condition, (with Kamalendra Kumar), J. Applied Nonlinear Dynamics, 2017 Vol. 6(4), pp. 465 – 470 (ISSN 2164-6457, eISSN 2164-6473). SCOPUS
31. Applications of Wavelet Packets to Wave Propagations (Sachin Kumar and Yogendra Singh), in proceedings of NCMTAEP-2016 in International Journal of Advance Research and Innovation 2017, 32-37 (ISSN 2347-3258)
32. Applications of wavelet packets to Euler-Bernoulli equation and frequency domain analysis, (with Sachin Kumar and Yogendra Singh), Journal of Rajasthan Academy of Physical Sciences; Vol.16, No.3&4, July-December, 2017, 137-154 (ISSN : 0972-6306) UGC Approved
33. Quasilinear Evolution Integrodifferential Equations in Banach Spaces, (with Kamalendra Kumar and Manoj Karnatak), Journal of New Theory, 2019 Vol. 27, pp. 11 – 21 ISSN 2149-1402
Old UGC List Sr. No. 48805
34. Boundary Controllability of Fractional Order Nonlocal Semi-linear Neutral Evolution Systems with Impulsive Condition, (with Kamalendra Kumar), Discontinuity, Nonlinearity, and Complexity 8(4) (2019) 419-428. [ISSN:2164-6376 (print) eISSN:2164-6414] SCOPUS
BOOKS :
1. Partial Differential Equations with Numerical solutions (with Nagendra Kumar), Anamaya Publishers, New Delhi, 2010. ISBN 978-81-89927-11-0
2. Theory of Differential Equations 1st Edition (with A.K. Saxena), Aey Key Publications, Bareilly, 2011. ISBN 978-81-921202-3-2
3. Geometry and Vector Calculus (with A.K. Saxena), Aey Key Publications, Bareilly, 2011. ISBN 978-81-921202-4-9

4. Algebra and Trignometry (with A.K. Saxena) Aey Key Publications, Bareilly, 2011. ISBN 978-81-921202-8-7
5. Differential Equations and Calculus of variations (with Nagendra Kumar), CBS Publishers & Distributors Pvt. Ltd., Delhi, 2013. ISBN 978-81-239-2204-1
6. Advances in Applied Mathematics and Computational Physics (Eds. Rakesh Kumar, Anil Kumar, Nagendra Kumar and Khalil Ahmad) Proceeding of NCAMCP-2012, World Education Publishers, Delhi, 2013. ISBN 978-81-909873-7-0
7. Partial Differential Equations with Numerical solutions (with Nagendra Kumar), Real World Education Publishers, New Delhi, 2015. ISBN 978-81-927151-8-6
8. Calculus 2nd Edition (with A.K. Saxena), Aey Key Publications, Bareilly, 2015. ISBN 978-81-921202-1-8
9. Differential Equations and Integral Transforms (with Nagendra Kumar), CBS Publishers & Distributors Pvt. Ltd., Delhi, 2016. ISBN978-93859-42-0
10. Proceeding of National Conference on “Modern Trends in Analytical & Environmental Physics” NCMTAEP-2016, (Eds. Anil Kumar & Rakesh Kumar) in International Journal of Advance Research and Innovation 2017. (ISSN 2347-3258)
11. Computer Based Numerical and Statistical Techniques (with Kamlendra Kumar), CBS Publishers & Distributors Pvt. Ltd., Delhi, 2018. ISBN 9789387085121.
12. Emerging Advances in Mathematical and Physical Sciences (with Anil Kumar, Dilip Kumar and Sunder singh), Walnut Publication, Bhubaneswer, 2020. ISBN 9789390261673, eISBN 9789390261680

Institution

Hindu College, Moradabad, UP, 244001

Publications

Nonlinear Integrodifferential Equations with Time Varying Delay
Authors: Kamalendra Kumar, Manoj Karnatak, Rakesh Kumar
DOI: 10.31197/atnaa.814109
FAVORITE 0 TOTAL DOWNLOAD COUNT 346

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346

Quasilinear Evolution Integrodifferential Equations in Banach Spaces
Authors: Kamalendra Kumar, Rakesh Kumar , Manoj Karnatak
Published: 2019 , Journal of New Theory
DOI: -
FAVORITE 0 TOTAL DOWNLOAD COUNT 435

0

435

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