Registered Data

[CT011]

[00846] ESR fractional model with non-zero uniform average blood velocity

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : This article discusses a new solution to the time-fractional ESR model, taking into account the non-zero average blood velocity. We not only obtain an analytic solution to the generalized model of Sharma et al. and da Sousa et al., but also we present some new results which establish that the developed fractional order model is better-suited one by using which predicting the ESR rate can take place more accurately.
  • Classification : 26A06, 26A33, 33E12, 35R11
  • Author(s) :
    • Abhijit Shit (Indian Institute of Technology Guwahati)
    • Swaroop Nandan Bora (Indian Institute of Technology Guwahati)

[00014] Pathway Fractional Integral Operator with Composition of Generalized function G_(ρ,η,r) [a, z]

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : The purpose of this paper is to consider the properties of generalized function G_$(ρ,η,r)$ $[a, z]$. For this purpose we obtain certain image formulas using Pathway fractional integral operators with these properties. We also mentioned some important special cases of the main results.
  • Classification : 26A33, 33E12
  • Author(s) :
    • Harish Nagar (Chandigarh University)
    • Seema Kabra (Sangam University)

[00173] Symmetries and Explicit Solutions of Fractional Nonlinear Drinfeld–Sokolov–Satsuma–Hirota System

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : In this work, a space-time fractional nonlinear Drinfeld–Sokolov–Satsuma–Hirota system is considered. The symmetry approach and power series expansion technique are applied to derive the explicit solutions of the system. The coupled DSSH system was seen as a special form example of Lax pairs and a special case of the four-reduced Kadomtsev–Petviashvili hierarchy in literature. The main motivation for present work is the global behaviour and various applications of fractional DSSH in applied science. The results obtained in the paper can be useful in calculating in conservation laws of the system.
  • Classification : 26A33, 76M60, Fractional Derivatives, Symmetry Analysis
  • Author(s) :
    • Komal Singla (Chandigarh University)

[00200] Montgomery identity and Ostrowski type inequalities via Katugampola integral operator

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : In this talk, we will discuss the extended version of Montgomery identity using Katugampola integral operators. Also we will establish Ostrowski type integral inequalities and fractional integral inequality for product of two functions.
  • Classification : 26A33, 26D07, 26D10
  • Author(s) :
    • Henok Desalegn Desta (Addis Ababa university )
    • Deepak B. Pachpatte (Dr. Babasaheb Ambedkar Marathwada University, India)
    • Tadesse Abdi (Addis Ababa University)
    • Jebessa B. Mijena ( Georgia College & State University)

[00334] A generalized study of the distribution of buffer over calcium on a fractional dimension

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Here, we focus on cellular calcium fluctuations with different buffers, including calcium-binding buffers, using the Hilfer fractional advection-diffusion equation for cellular calcium. By combining with intracellular free calcium ions, buffers reduce the cytosolic calcium concentration. Models are developed for association, dissociation, diffusion, and buffer concentration. In comparison to the conventional calcium model, the modified Hilfer calcium model offers a richer physical explanation. Numerical simulations are also carried out in MATLAB.
  • Classification : 26A33, 35Q92, 44A10, 92C99
  • Author(s) :
    • Sanjay Bhatter (Malaviya National Institute of Technology Jaipur)
    • Kamlesh Jangid (Central University of Rajasthan, Ajmer)
    • Shyamsunder - (Malaviya National Institute of Technology Jaipur)
    • Sunil Dutt Purohit (Rajasthan Technical University, Kota)
    • Dumitru Baleanu (Cankaya University, Ankara)
    • Daya Lal Suthar (Wollo University)