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To study the dynamical system, it is necessary to formulate the mathematical model to understand the dynamics of various diseases that are spread worldwide. The main objective of our work is to examine neurological disorders by early detection and treatment by taking asymptomatic. The central nervous system (CNS) is impacted by the prevalent neurological condition known as multiple sclerosis (MS), which can result in lesions that spread across time and place. It is widely acknowledged that multiple sclerosis (MS) is an unpredictable disease that can cause lifelong damage to the brain, spinal cord, and optic nerves. The use of integral operators and fractional order (FO) derivatives in mathematical models has become popular in the field of epidemiology. The model consists of segments of healthy or barian brain cells, infected brain cells, and damaged brain cells as a result of immunological or viral effectors with novel fractal fractional operator in sight Mittag Leffler function. The stability analysis, positivity, boundedness, existence, and uniqueness are treated for a proposed model with novel fractional operators. Model is verified the local and global with the Lyapunov function. Chaos Control will use the regulate for linear responses approach to bring the system to stabilize according to its points of equilibrium so that solutions are bounded in the feasible domain. To ensure the existence and uniqueness of the solutions to the suggested model, it makes use of Banach's fixed point and the Leray Schauder nonlinear alternative theorem. For numerical simulation and results the steps Lagrange interpolation method at different fractional order values and the outcomes are compared with those obtained using the well-known FFM method. Overall, by offering a mathematical model that can be used to replicate and examine the behavior of disease models, this research advances our understanding of the course and recurrence of disease. Such type of investigation will be useful to investigate the spread of disease as well as helpful in developing control strategies from our justified outcomes. • The disease transmission dynamics and the creation of control systems are investigated. • The work focuses on neurological disorders using the fractal-fractional Mittag-Leffler (FFM) derivative. • The fixed points of the model are identified and the stability analysis is carried out. • The fractional Lagrange interpolation method is utilized to compute the model's numerical solutions. • Finally, numerical simulations confirm the agreement between the theoretical findings and the numerical results. [ABSTRACT FROM AUTHOR]

SnO 2 quantum dots interspersed Bi 2 WO 6 nanoflowers were successfully synthesized to create a cost-efficient electrode material specifically designed for energy storage devices. The performance of the electrodes was evaluated by studying their structural and functional properties. The SnO 2 quantum dots coupled with Bi 2 WO 6 nanoflowers-based electrodes exhibited an enhanced electrochemical behavior compared to those without the SnO 2. A functional investigation of the developed electrodes in a 3 M KOH electrolyte demonstrated specific capacitance values of 812 and 741 F.g−1 (225.5 and 206 mAh.g−1) for SnO 2 -Bi 2 WO 6 (BWSq) and Bi 2 WO 6 (BW) nanoflowers, respectively, at a current density of 7 A.g−1. Excellent cycling stability was observed for both BWSq and BW electrodes, with specific capacity values of 226 and 159 mAh.g−1 (814 and 572 F.g−1), respectively, after 3000 cycles at a current density of 22 A.g−1. The fabricated BWSq symmetric super-capacitor (SSC) device demonstrated a superior performance with an exceptional specific capacitance of 75.6 F.g−1 when subjected to a current density of 0.5 A.g−1. Additionally, the device displayed impressive energy and power densities, reaching 31.1 Wh.kg−1 and 14040 W.kg−1, respectively. Moreover, the BWSq SSC device demonstrated notable cyclic stability, manifesting a capacity retention of 62% over 5000 galvanostatic charge-discharge cycles. The outcomes of this study suggest that the BWSq nanostructure holds immense promise as a prospective contender for energy storage applications, offering great potential for practical implementation. • A novel SnO 2 quantum dots interspersed Bi 2 WO 6 nanoflowers (BWSq) electrode material prepared for supercapacitor. • BWSq demonstrates superior specific capacitance, rate capability, and cycling stability compared to Bi 2 WO 6 nanoflowers (BW). • Fabrication and evaluation of a high-performance symmetric supercapacitor (SSC) using BWSq electrodes. • Enhanced charge transfer behavior in BWSq electrodes, highlighting their potential for advanced energy storage applications. [ABSTRACT FROM AUTHOR]