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Functional Analysis, Frames, Wavelets, Applications, Fractional Calculus, Mathematical Modelling
India

Biography

Currently, I am working as an Assistant Professor in the Department of Mathematics Central University of Haryana. I am doing research in frame theory, wavelet theory, Sampling Theory, Dynamical Systems, Fractional Calculus and their applications.

Activities

Employment (3)

Central University of Haryana: Mahendragarh, Haryana, IN

2020-03-06 to present | Assistant Professor (Mathematics )
Employment
Source: Self-asserted source
Shah Jahan

Ramjas College University of Delhi : New Delhi, Delhi, IN

2019-01-21 to 2020-03-05 | Assistant Professor (Mathematics )
Employment
Source: Self-asserted source
Shah Jahan

Daulat Ram College for Women: New Delhi, Delhi, IN

2019-01-09 to 2019-01-20 | Assistant Professor (Department of Mathematics)
Employment
Source: Self-asserted source
Shah Jahan

Education and qualifications (2)

University of Delhi: New Delhi, Delhi, IN

2013-09-25 to 2018-09-18 | PhD (Faculty of mathematics)
Education
Source: Self-asserted source
Shah Jahan

University of Delhi: New Delhi, IN

2011 to 2013 | M.Phil (Faculty of Mathematical Sciences)
Education
Source: Self-asserted source
Shah Jahan

Professional activities (1)

American Mathematical Society: RI, RI, US

Annual (Department of Mathematics)
Membership
Source: Self-asserted source
Shah Jahan

Works (32)

Polynomial-based fractional methods of wavelets and their applications

2025 | Book chapter
Contributors: Shah Jahan; Pooja Yadav
Source: check_circle
Crossref

Correction: Bell wavelet-based numerical algorithm for fractional-order $$(1+1)$$-dimensional telegraph equations involving derivative in Caputo sense

International Journal of Dynamics and Control
2025-03 | Journal article
Contributors: Pooja Yadav; Shah Jahan
Source: check_circle
Crossref

A new generalized Bell wavelet and its applications for solving linear and nonlinear integral equations

Computational and Applied Mathematics
2025-02 | Journal article
Contributors: Pooja Yadav; Shah Jahan; Kottakkaran Sooppy Nisar
Source: check_circle
Crossref

Bell wavelet-based numerical algorithm for fractional-order (1$$+$$1)-dimensional telegraph equations involving derivative in Caputo sense

International Journal of Dynamics and Control
2025-02 | Journal article
Contributors: Pooja Yadav; Shah Jahan
Source: check_circle
Crossref

Fractal-fractional modeling and stability analysis of pine wilt disease dynamics

PLOS ONE
2025-02-12 | Journal article
Contributors: Khaled Aldwoah; António M. Lopes; Shahid Ahmed; Shah Jahan; Amel Touati; Nidal EIjaneid; Tariq AIjaaidi
Source: check_circle
Crossref

Analysis of fractal-fractional Alzheimer's disease mathematical model in sense of Caputo derivative

AIMS Public Health
2024 | Journal article
Part of ISSN: 2327-8994
Contributors: Pooja Yadav; Shah Jahan; Kottakkaran Sooppy Nisar
Source: Self-asserted source
Shah Jahan

On mathematical modelling of measles disease via collocation approach

AIMS Public Health
2024 | Journal article
Part of ISSN: 2327-8994
Contributors: Shahid Ahmed; Shah Jahan; Kamal Shah; Thabet Abdeljawad
Source: Self-asserted source
Shah Jahan

On computational analysis via fibonacci wavelet method for investigating some physical problems

Journal of Applied Mathematics and Computing
2024-10-03 | Journal article
Part of ISSN: 1598-5865
Part of ISSN: 1865-2085
Contributors: Shahid Ahmed; Shah Jahan; Kamal Shah; Thabet Abdeljawad
Source: Self-asserted source
Shah Jahan

Taylor wavelet quasilinearization method for solving tumor growth model of fractional order

Results in Control and Optimization
2024-06 | Journal article
Part of ISSN: 2666-7207
Contributors: Pooja Yadav; Shah Jahan; Mohammad Izadi
Source: Self-asserted source
Shah Jahan

FIBONACCI WAVELETS APPROACH FOR SOLVING NON LINEAR FREDHOLM INTEGRAL EQUATIONS

Poincare Journal of Analysis and Applications
2024-05-14 | Journal article | Writing - original draft, Conceptualization, Writing - review & editing
Part of ISSN: 2349-6789
Part of ISSN: 2349-6797
Contributors: Shah Jahan; Pooja Yadav
Source: Self-asserted source
Shah Jahan

An Efficient Method Based on Taylor Wavelet for Solving Nonlinear Stratonovich-Volterra Integral Equations

International Journal of Applied and Computational Mathematics
2024-04 | Journal article
Part of ISSN: 2349-5103
Part of ISSN: 2199-5796
Contributors: Shahid Ahmed; Shah Jahan
Source: Self-asserted source
Shah Jahan

Haar wavelet based numerical technique for the solutions of fractional advection diffusion equations

Journal of Mathematics and Computer Science
2024-03-18 | Journal article
Part of ISSN: 2008-949X
Contributors: Sh. Ahmed; Sh. Jahan; K. S. Nisar
Source: Self-asserted source
Shah Jahan
grade
Preferred source (of 2)‎

HAAR WAVELET COLLOCATION METHOD FOR TELEGRAPH EQUATIONS WITH DIFFERENT BOUNDARY CONDITIONS

Jordan J. Math & Stat.
2024-03-10 | Journal article | Writing - review & editing, Writing - original draft
Contributors: shahid Ahmed ; Shah Jahan; Kottakkaran Sooppy Nisar
Source: Self-asserted source
Shah Jahan

Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

Results in Applied Mathematics
2024-02 | Journal article
Part of ISSN: 2590-0374
Contributors: Shahid Ahmed; Shah Jahan; Khursheed J. Ansari; Kamal Shah; Thabet Abdeljawad
Source: Self-asserted source
Shah Jahan

Frame Operators for Frames in Krein Spaces

European Journal of Mathematical Analysis
2024-01-18 | Journal article
Contributors: Shah Jahan; P. Sam Johnson
Source: check_circle
Crossref

Fibonacci wavelet method for the numerical solution of a fractional relaxation–oscillation model

Partial Differential Equations in Applied Mathematics
2023-12 | Journal article
Part of ISSN: 2666-8181
Contributors: Shah Jahan; Shahid Ahmed; Pooja Yadav; Prof. Kottakkaran Sooppy Nisar
Source: Self-asserted source
Shah Jahan
grade
Preferred source (of 2)‎

Fractional order mathematical model of Ebola virus under Atangana–Baleanu–Caputo operator

Results in Control and Optimization
2023-12 | Journal article
Contributors: Pooja Yadav; Shah Jahan; Kottakkaran Sooppy Nisar
Source: check_circle
Crossref

Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order

Ain Shams Engineering Journal
2023-11 | Journal article
Contributors: Pooja Yadav; Shah Jahan; Kottakkaran Sooppy Nisar
Source: check_circle
Crossref

Fibonacci wavelet method for time fractional convection–diffusion equations

Mathematical Methods in the Applied Sciences
2023-11-09 | Journal article | Author
Part of ISSN: 0170-4214
Part of ISSN: 1099-1476
Contributors: Pooja Yadav; Shah Jahan; Prof. Kottakkaran Sooppy Nisar
Source: Self-asserted source
Shah Jahan
grade
Preferred source (of 2)‎

Fractional-order modelling and analysis of diabetes mellitus: Utilizing the Atangana-Baleanu Caputo (ABC) operator

Alexandria Engineering Journal
2023-10 | Journal article
Contributors: Pooja Yadav; Shah Jahan; Kamal Shah; Olumuyiwa James Peter; Thabet Abdeljawad
Source: check_circle
Crossref

Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model

Mathematical Methods in the Applied Sciences
2023-10 | Journal article
Contributors: Shahid Ahmed; Shah Jahan; Kottakkaran S. Nisar
Source: check_circle
Crossref

An efficient method for the fractional electric circuits based on Fibonacci wavelet

Results in Physics
2023-09 | Journal article
Contributors: Shahid Ahmed; Kamal Shah; Shah Jahan; Thabet Abdeljawad
Source: check_circle
Crossref

Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind

Qualitative Theory of Dynamical Systems
2023-06 | Journal article
Part of ISSN: 1575-5460
Part of ISSN: 1662-3592
Contributors: Pooja Yadav; Shah Jahan; K. S. Nisar
Source: Self-asserted source
Shah Jahan

Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

Ain Shams Engineering Journal
2023-05 | Journal article
Part of ISSN: 2090-4479
Contributors: Pooja Yadav; Shah Jahan; Kottakkaran Sooppy Nisar
Source: Self-asserted source
Shah Jahan

Approximate Solution for Proportional-Delay Riccati Differential Equations By Haar Wavelet Mathod

Poincare Journal of Analysis and Applications
2021 | Journal article | Writing - review & editing
Contributors: Shah Jahan; Basharat Hussain; Afroz
Source: Self-asserted source
Shah Jahan

Atomic systems for operators

International Journal of Wavelets, Multiresolution and Information Processing
2019 | Journal article
EID:

2-s2.0-85055056943

Part of ISSN: 02196913
Contributors: Poumai, K.T.; Jahan, S.
Source: Self-asserted source
Shah Jahan via Scopus - Elsevier

Approximative K-atomic decompositions and frames in Banach spaces

Arab Journal of Mathematical Sciences
2018 | Journal article
EID:

2-s2.0-85082463463

Part of ISSN: 25889214 13195166
Contributors: Jahan, S.
Source: Self-asserted source
Shah Jahan via Scopus - Elsevier

Some results on the existence of frames in Banach spaces

Poincare Journal of Analysis and Applications
2018 | Journal article
EID:

2-s2.0-85061579225

Part of ISSN: 23496797 23496789
Contributors: Jahan, S.; Kumar, V.
Source: Self-asserted source
Shah Jahan via Scopus - Elsevier

Cone associated with frames in Banach spaces

Palestine journal of mathematics
2018-06-01 | Journal article | Writing - review & editing
Contributors: Shah Jahan; Varinder Kumar; Chander Shekhar
Source: Self-asserted source
Shah Jahan

On k-atomic decompositions in Banach spaces

Electronic journal of mathematical analysis and applications
2018-01-30 | Journal article | Writing - review & editing
Contributors: Shah Jahan; K. T. Poumai
Source: Self-asserted source
Shah Jahan

On the existence of non-linear frames

Archivum Mathematicum
2017 | Journal article
EID:

2-s2.0-85021078818

Part of ISSN: 12125059 00448753
Contributors: Jahan, S.; Kumar, V.; Kaushik, S.K.
Source: Self-asserted source
Shah Jahan via Scopus - Elsevier

On cones associated with Schauder frames

Jordan journal of mathematics and statistics
2017-12-30 | Journal article | Writing - review & editing
Contributors: Shah Jahan; Varinder Kumar
Source: Self-asserted source
Shah Jahan