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مواقع أعضاء هيئة التدريس

كل ما تحتاجه من أستاذك… في مكان واحد

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Dr.RAJA GOPALAN RAMASWAMY RAMASWAMY

Certified Board of Assessor, DDQ, PSAU Associate Professor College of Science and Humanity Studies in Alkharj
  • Room No.3-C-5, Second Floor Dept of Mathematics College of Science and Humanities Studies PO Box 83 Alkharj 11942
  • 011-588-0115888154
  • r.gopalan@psau.edu.sa
  • Curriculum Vitae
  • Publications

Education

  • B. Sc Mathematics - Madurai Kamaraj University - First Class with distinction M. Sc Mathematics - Madurai Kamaraj University - Second Class Ph D - Doctor of Philosophy - Singhania University India - Fixed Point Theory and Applications

Research Interests

  • 1. Fixed Point Theory and Applications
  • 2. Game Theory
  • 3. Mathematical Modelling
  • 4. Non Linear Analysis
  • 5. Algebraic Topology
  • 6. Number Theory

Experience

  • DEC 2009 - SEP 2022 - ASST PROFESSOR - PRINCE SATTAM BIN ABDULAZIZ UNIVERISTY
  • JUL 2004 - DEC 2009 - - NATRSS
  • SEP 2022 - until now - ASSOCIATE PROFESSOR - PRINCE SATTAM BIN ABDULAZIZ UNIVERSITY

Responsibilities

  • 1, Delivering Lectures and Tutorials of Mathematics courses to the students of Mathematics, Physics, Engineering, Computer Science and Business Administration 2. Supervising Graduation Project of students of Bachelor of Science in Mathematics 3. Supervising Master Thesis to the students of Master of Science in Mathematics Adminstrative : 1. Coordinator for Quality Assurance and Academic Accreditation of Dept of Mathematics 2. Certified Board of Assessor, PSAU, Alkharj 3. Member of Quality Committee of College of Science and Humanities studies 4. Member of Examination Control Committee.

Publications

  • -Solution of integral equation with neutrosophic rectangular triple controlled metric space – Symmetry 2022, 14, 2074. https://doi.org/ 10.3390/sym14102074
  • -An application to Urysohn Integral Equations via complex partial metric space – Mathematics 2022, 10, 2019.
  • - Hermite Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions –Mathematics 2022, 10, 2019.
  • https:// doi.org/10.3390/math10122019
  • - Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting - Mathematics 2022,10,3491. https://doi.org/10.3390/math10193491
  • -Some new exact solutions for a generalized variable coefficients KdV equation -J. Math. Computer Sci., 29 (2023), 1–11
  • -On exact solutions of fractional differential difference equations with ψ-Riemann-Liouville derivative –International Journal of Nonlinear Sciences and Numerical Simulation (IJNSNS) (Jan 2022)- https://doi.org/10.1515/ijnsns-2021-0166
  • -An Application to fixed point results in tricomplex valued metric spaces using control functions – Mathematics 2022, 10, 3344. https://doi.org/10.3390/math10183344
  • -Certain Applications of Fixed Points to Game Theory – Rajagopalan R, Mohammed Lahi Alghazwani, - In Press
  • -On ghost attractor in blinking chaotic MVD memristor-based circuit and its application- IEEE Access - DOI: 10.1109/ACCESS.2021.3135519 - (2021)
  • -Edge Theoretic Extended Contractions and their Applications –Rajagopalan R, Ekta Tamrakar, Fahad A Shammeri, H K Pathak, Reny George --Journal of Function Spaces – Volume 2021 –( 2021) – https://doi.org/10.1155/2021/5157708
  • -Generalised Presic type operators in modular metric space and an application to integral equations of Caratheodory’s type functions- Fahad Alshammeri, Rajagopalan R, Reshma KP, Reny George - Journal of Mathematics – Hindawi Publications –- https://doi.org/10.1155/2021/7915448 - (2021)
  • -Dynamical analysis of a novel discrete fractional sitrs model for covid-19 – Fractals – Vol29 – No.8 – Jul 2021-https://doi.org/10.1142/S0218348X21400351 (2021)
  • - -Exact solutions of fractional differential difference equations with ψ-Riemann-Liouville derivative using the invariant subspace method
  • -New breathers, rogue waves , bright, dark and W- shaped soliton solutions to the variable coefficients (2+1) - dimensional breaking soliton model – Submitted in AIMS Mathematics (2021)
  • - Some new exact solutions for a generalized variable coefficients KdV equation – Submitted in Numerical Methods for Partial Differential Equations (2021)
  • - Hyperbolic Two Temperature Fractional-order Thermoelastic Model subjected to Thermal Loading with two relaxation times- Rajagopalan R and E Bassiouny, Advances in Dynamical Systems and Applications (ADSA). ISSN 0973-5321, Volume 15, Number 2, (2020) pp. 217-229
  • - Common fixed-point results for set valued contractions in a metric space – Rajagopalan R – IJERT. ISSN 0974-3154, Volume 13, Number 11 (2020), pp. 3872-3876
  • - Some generalized contraction classes and common fixed points in b-metric space endowed with a graph – Reny George, Hossam A Nabway, Rajagopalan R, S Radenovic - Mathematics 2019, 7, 754; doi:10.3390/math7080754
  • - Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations – Rajagopalan R, Reny George, Hossam A Nabway, Jelena Vujaković, and Selva Vinayagam, ‘DeG-ruyter’, Open Mathematics, 2019; 17:1065–1081
  • - On the growth of Factorial Function – Rajagopalan R, Abdulkareem Saleh Hamarsheh, Applied Mathematical Sciences, Hikari Limited, Vol. 13, no. 9-12, 2019, ISSN 1314-7552 doi:10.12988/ams
  • - Dislocated Cone Metric Space over Banach Algebra and alfa-Quasi Contraction Mappings of Perov Type Reny George; R. Rajagopalan; Hossam Nabwey; Stojan Radenovic Fixed Point Theory & Applications (Accepted)
  • - Rectangular cone b-metric space over Banach algebra and contraction principles”, - Reny George, R, Rajagopalan, Hossam A Nabwey and S. Radenovic Fixed Point Theory and Applications, Springer Open, 14, DOI 10.1186/s13663- 017- 0608-x
  • - Rectangular Cone b-metric spaces and Fixed Points – Presented at International Conference 1-2 Jun 2016
  • - Fixed point theorem in vector metric space and generalized vector metric space" - R. Rajagopalan , Reny George, Padmavati, K.P Reshma-Accepted
  • - Generalised Cone b-metric spaces and Fixed Points – Hossam A Nawbey, Reny George, Rajagopalan and KP Reshma - - Matematicki Vesnik 01/2015;
  • - Common fixed point theorems for single and set-valued horizontally weakly compatible pairs of mappings in dislocated fuzzy metric spaces – Rajagopalan R, Reny
  • George, Md Shadab Khan and K P Reshma – Intl Journal of Mathematical Analysis – Vol 8, No.14, 683-697
  • - Horizontal Weak Compatibility of Mappings and Common Fixed Points in Dislocated Fuzzy Metric Space
  • - Common Fixed Point Reults for ψ-Ø contractions in Rectangular Metric Spaces – Reny George and Rajagopalan – Bulletin of Mathematical Analysis and Applications, Vol 5, Issue 1 (2013)
  • - Cyclic Contractions and Fixed Points in Dislocated Metric Spaces – Reny George and Rajagopalan R – Intl Journal of Mathematical Analysis, Vol 7 2013, No.9, 403-411 (2013)
  • - A generalised fixed point theorem of Presic type in cone metric spaces and application to Markov process. -Reny George, K P Reshma and R Rajagopalan - Fixed PointTheory and Applications 2011, 2011:85 doi:10.1186/1687- 1812-2011-85 Published: 23 November 2011
  • - Presented Paper on A Common Fixed Point Theorem for Four mappings in Dislocated Fuzzy Metric Spaces in the nternational Conference on Analysis and Applications held at Aligarh Muslim University, Aligarh, India (19-21 Nov 2011).

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