A5007425238- Fractional Differential Equations Solutions
- Fuzzy Systems and Optimization
- Nonlinear Differential Equations Analysis
- Quantum chaos and dynamical systems
- Fuzzy Logic and Control Systems
- Chaos control and synchronization
- Electromagnetic Scattering and Analysis
- Numerical methods for differential equations
- Multi-Criteria Decision Making
- Chaos-based Image/Signal Encryption
- Human Pose and Action Recognition
- Chemical synthesis and alkaloids
- Face recognition and analysis
- Iterative Methods for Nonlinear Equations
- Video Analysis and Summarization
- COVID-19 epidemiological studies
- Synthesis and bioactivity of alkaloids
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Dynamics and Pattern Formation
- Berberine and alkaloids research
University of Malakand
2016-2024
Capital University of Science and Technology
2019
Tissue damage is associated with pain, which an alarming sign. Aspirin and morphine have been widely used in recent decades for management of pain. Medicinal herbs use treatment different diseases centuries. Many these possess analgesic activity relatively less incidences adverse effects. The strong positive correlation alkaloids medicinal plants persuades intention to determine possible total extracted from the selected using animal models answer its mechanisms.Crude (Woodfordia fruticosa,...
In this paper, we study the fractional integro-differential equation under notion of fuzziness. We consider fuzzy Volterra-Fredholm in Caputo sense and show its existence uniqueness by using fixed point theory. Further, use modified Adomian decomposition method (MADM) to determine solution proposed problem. provide some examples support our method. also graphical representation visualize behavior solutions. At end present conclusion part.
Abstract In recent decades, fuzzy differential equations of integer and arbitrary order are extensively used for analyzing the dynamics a mathematical model physical process because crisp operators not able to study being studied when there is uncertainty in values modeling. this article, we have considered time-fractional Fisher equation environment. The basic aim article deduce semi-analytical solution fractional-order non-dimensional equation. Since Laplace-Adomian method has good...
Abstract In this work, a Laplace-like transform in fuzzy environment called Yang is introduced to solve differential equations (FDEs) with the order θ ∈ (1, 2] involving Caputo fractional derivative sense of gH -differentiability. Some basic properties for integer and derivatives are also provided. Furthermore, by utilizing combination between Adomian decomposition method (ADM) method, general algorithm hybrid (HYTM) solutions FDEs nonlinear form proposed. For validity accuracy novel some...
Abstract Uncertainty always involved in our life activities because we cannot measure a physical quantity accurately. This situation has handled by fuzzy systems and differential equations. Recently, fractional equations got tremendous attention of the researchers current century these operators model real phenomenon more accurately than integer‐order fractional‐order operators. Therefore, investigate complex population dynamical under Caputo derivative. Since Laplace transform high...
There are some confusion and complexity in our everyday lives, as we live an uncertain environment. In such type of environment, accurate calculation the data finding a solution to problem is not easy job. So, fuzzy differential equations better tools model problems domain. Modeling real-world phenomenon more accurately requires operators. Therefore, investigate fractional-order Swift–Hohenberg equation concept. We study this under Caputo fractional derivative. use Sumudu transform find out...
The present article studies the agitation scenario of SARS‐CoV‐2 (COVID‐19), current pandemic around globe, by applying Atangana–Baleanu–Caputo derivative operator where . Using classical notions, we study various qualitative features, like existence, uniqueness and investigate Hyers–Ulam stability analysis model under consideration. Lagrange's polynomial approach is used for approximation nonlinear terms system. We carry out numerical simulations different values fractional‐order results...
In this paper we consider ant-eating pangolin as a possible source of the novel corona virus (COVID-19) and propose new mathematical model describing dynamics COVID-19 pandemic. Our is based on hypotheses that human populations are divided into measurable partitions also incorporates bootleg market or reservoir. First study important properties like existence, boundedness positivity solution proposed model. After finding threshold quantity for underlying model, stationary states explored. We...
Abstract Nonlinear partial differential equations have a crucial rule in many physical processes. In this paper, novel approach is used to study nonlinear of fractional order, which named as Modified Yang Transform (MYT) method. This combines transform with the Adomian decomposition The order considered Caputo-Fabrizio sense. Convergence analysis modified presented. Additionally, solution framework for equation carried out and some examples are provided highlight application current To...
The paper shows a latest handling technique base an adaptive Integral Sliding mode for the continuation of chaotic systems to start sliding control; error system is transformed into different shape consisting nominal part and some unknown courses. terms are estimated adaptively. After established using control. establishment controller built, which include control also compensator adapted laws get based on Lyapunov stability theory. Then illustrate design manner or way, differentiate its...
In this paper, synchronization is proposed for a general chaotic system while new control strategy based on Sliding Mode Control with known parameters to be tracking of desired trajectory achieved systematic way. model complete are through sliding mode control, the nonlinear approach that interlaces appropriate choice Lyapaunov function. The numerical simulation show input enforce dynamics stability and error zero other hand, will asymptotically stable. results applicability synchronization.