arXiv subjects

Sajid Ullah

Publications and source records attributed to Sajid Ullah.

5 recordsLinked to original sources

arXiv2026

Existence of Positive Mild Eigenfunctions for Caputo Fractional Semilinear Evolution Equations with Nonlocal Initial Conditions

We study the existence of positive eigenpairs for a class of Caputo fractional autonomous evolution equations with nonlocal initial condition within the framework of Banach lattices. The autonomous linear operator generates a compact strongly continuous semigroup of contractions, while the nonlinearity is a Caratheodory map. The mild eigenfunction is represented via the compact Mittag--Leffler operator families, we work within a positive cone of continuous functions and establish a uniform lower bound for the solution operator on the boundary. We apply the Birkhoff--Kellogg type theorem in cone for the existence of eigenpair. Our approach requires neither Lipschitz continuity of the nonlinearity nor the compactness of nonlocal initial operator, allowing for broad applicability to periodic, multi-point, and integral-type initial conditions. The theoretical results are applied to a parabolic fractional partial differential equation.

math.FA↗

arXiv2025

Solutions to Second-Order Nonlocal Evolution Equations Governed by Non-Autonomous Forms

Our main contributions include proving sufficient conditions for the existence of solution to a second order problem with nonzero nonlocal initial conditions, and providing a comprehensive analysis using fundamental solutions and fixed-point techniques. The theoretical results are illustrated through applications to partial differential equations, including vibrating viscoelastic membranes with time-dependent material properties and nonlocal memory effects.

math.AP↗

arXiv2025

Eigenvalues of a coupled system of thermostat-type via a Birkhoff-Kellogg type Theorem

In this paper, by means of Birkhoff--Kellogg type Theorem in cones we address the existence of eigenvalues and the corresponding eigenvectors to a family of coupled system of thermostat type. The system is characterized by the presence of a real parameter that influences not only the differential equations but also the boundary conditions. Motivated by models of temperature regulation and feedback-controlled systems, we reformulate the original boundary value problems into systems of Hammerstein integral equations. The theoretical results are applied to three different classes of boundary conditions in $t=0$, which are supported by examples.

math.CA↗

arXiv2019

Autonomous Surveying Boat

The fresh water reservoirs are one of the main power resources of Pakistan.These water reservoirs are in the form of Tarbela Dam, Mangla Dam, Bhasha Dam,and Warsak Dam. To estimate the current power capability of the Dams, the statistical information about the water in the dam has to be clear and precise. For the purpose of water management monthly or yearly survey of the dams required. One of the important parameter is to find the water level of water, which can help us in finding the pressure and flow of water in dams. The existing surveying systems have some problems, i.e., risky, errors in measurement and sometimes expensive. Our project has tried a lot to overcome these flaws and to develop more economical, safe and accurate system for finding depth values of dams and ponds. The key purpose of Our Project Autonomous Surveying Boat is to have it log water depths along a predefined set of points. The Autonomous Surveying Boat floats in water according to predefined path, getting the coordinates from GPS Sensor and direction is controlled by using Magnetometer Sensor. It stores its data on SD card as a text file for later readings. The boat can also be used to find the average capacity of the dam. The average depth is calculated from the measured depth values at different set points of the dam. The actual length of the dam is determined by the magnetometer. The numbers of surveys over the time can help us in finding the silting ratio in dams.For square dams the length and width of the dam are measured and the average depth, then using these three parameters we can estimate the average capacity of the dam.The boat is scalable for furthered modification if needed.

cs.RO↗

arXiv2018

Topology Control of wireless sensor network using Quantum Inspired Genetic algorithm

In this work, an evolving Linked Quantum register has been introduced, which are group vector of binary pair of genes, which in its local proximity represent those nodes that will have high connectivity and keep the energy consumption at low, and which are taken into account for topology control. The register works in higher dimension. Here order-2 Quantum inspired genetic algorithm has been used and also higher order can be used to achieve greater versatility in topology control of nodes. Numerical result has been obtained, analysis is done as how the result has previously been obtained with Quantum genetic algorithm and results are compared too. For future work, factor is hinted which would exploit the algorithm to work in more computational intensive problem.

cs.NE↗