APPLIED SCIENCE & SCIENCE DOMAIN
Published September 1, 2023 | Version v1
Journal article Open

Fractional Calculus of Extended Wright Function with Beta Operator

Authors/Creators

  • 1. Department of Mathematics, Swami Keshvanand Institute of Technology Management and Gramothan, Jaipur, Rajasthan, India

Description

In this paper, Caputo Marichev-Saigo-Maeda (MSM) fractional operators of extended Wright function are discussed with beta operator. Some corollaries of our main results are also discussed. A beta operator is applied on the right-sided and left-sided MSM fractional operators with extended Wright function. 

Files

Fractional calculus of extended Wright function.pdf

Files (865.1 kB)

Additional details

References

  • Shiri, B., & Baleanu, D. (2022). A general fractional pollution model for lakes. Communications on Applied Mathematics and Computation, 1-26.
  • Shiri, B., Wu, G. C., & Baleanu, D. (2021). Terminal value problems for the nonlinear systems of fractional differential equations. Applied Numerical Mathematics, 170, 162-178.
  • Gu, C. Y., Zheng, F. X., & Shiri, B. (2021). Mittag-Leffler stability analysis of tempered fractional neural networks with short memory and variable-order. Fractals, 29(08), 2140029.
  • Gu, C. Y., Wu, G. C., & Shiri, B. (2021). An inverse problem approach to determine possible memory length of fractional differential equations. Fractional Calculus and Applied Analysis, 24(6), 1919-1936.
  • Baleanu, D., Shiri, B., & Shiri, B. (2022). Nonlinear higher order fractional terminal value problems. AIMS Math, 7(5), 7489-7506.
  • E. D. Rainville, Special Functions, The Macmillan Company, New York, USA,(1971).
  • Wright, E. M. (1940). The asymptotic expansion of integral functions defined by Taylor series. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 238(795), 423-451
  • Wright, E. M. (1935). The asymptotic expansion of the generalized hypergeometric function. Journal of the London Mathematical Society, 46, 389–408.
  • Wright, E. M. (1933). On the coefficients of power series having exponential singularities. Journal of the London Mathematical Society, 1(1), 71-79.
  • Wright, E. M. (1935). The asymptotic expansion of the generalized hypergeometric function. Journal of the London Mathematical Society, 1(4), 286-293.