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[CT012]

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G401
Type : Contributed Talk
Abstract : Various studies present mathematical models of ordinary and fractional differential equations to reduce delinquent behavior and encourage prosocial growth. However, these models do not include the fear effect of the judiciary and of other gangs on one criminal gang, which is necessary to depict the behavioral changes of criminals. Hence, this talk will discuss a fractional-order of crime transmission model with the fear effect of the judiciary on offenders with competition effect in different gangs.
Classification : 26A33, 00A71, 34A08
Format : Talk at Waseda University
Author(s) :
- Trilok Mathur (Birla Institute of Technology and Science, Pilani)
- Shivi Agarwal (Birla Institute of Technology and Science, Pilani)
- Komal Bansal (Birla Institute of Technology and Science, Pilani)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G401
Type : Contributed Talk
Abstract : The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the Fekete-Szegö inequality for such functions by using Variational Method. We conclude that this paper presents a new class of functions analytic in the slit domain, and closely related to the class of starlike functions. Besides being an introduction to this field, it provides an interesting connections defined class with well-known classes. The paper deals with several ideas and techniques used in geometric function theory.
Classification : 30C45
Format : Talk at Waseda University
Author(s) :
- Lourthu Mary Joseph (Yuvabharathi International School)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G401
Type : Contributed Talk
Abstract : A thermostat is a device that detects the temperature of a physical system and takes the requisite actions to maintain the system's temperature at a predetermined set point. This paper deals with a fully fractional thermostat model involving Riemann-Liouville fractional derivatives. By choosing an appropriate weighted Banach space of continuous functions, we employ the Banach contraction principle to establish the existence and uniqueness result. An example is presented to validate our theoretical finding.
Classification : 26A33, 34A08, 34K10, 34K37, 65L10, Fractional differential equations, Riemann-Liouville fractional derivative, Thermostat model, Banach contraction principle, Product rectangle rule, Numerical simulation.
Format : Online Talk on Zoom
Author(s) :
- KIRAN KUMAR SAHA (Indian Institute of Technology Roorkee)
- NAGARAJAN SUKAVANAM (Indian Institute of Technology Roorkee)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @G401
Type : Industrial Contributed Talk
Abstract : In this talk , we found the analytical solution of unsteady free convective flow of an electrically conducting and viscous incompressible fluid between two infinite parallel plates when one plate moves with a ramped velocity. An applied Magnetic field has been taken into consideration. Laplace transform techniques were used to find the non-dimensional governing equations analytically. The effect of various values for magnetic field magnetic parameter, Grashof number and time parameter are demonstrated graphically.
Classification : 26A33, 33C65, 33C20
Format : Online Talk on Zoom
Author(s) :
- Sangeeta Kumari (Chandigarh University)
- Vanita Vatsa (Depaertment of Mathematics, DCRUST, Murthal, INDIA)