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[CT011]

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G305
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
Format : Talk at Waseda University
Author(s) :
- Harish Nagar (Chandigarh University)
- Seema Kabra (Sangam University)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G305
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
Format : Online Talk on Zoom
Author(s) :
- Abhijit Shit (Indian Institute of Technology Guwahati)
- Swaroop Nandan Bora (Indian Institute of Technology Guwahati)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G305
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
Format : Online Talk on Zoom
Author(s) :
- Komal Singla (Chandigarh University)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G305
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
Format : Online Talk on Zoom
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)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G305
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
Format : Online Talk on Zoom
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)