A5024005066- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Thermoelastic and Magnetoelastic Phenomena
- Nonlocal and gradient elasticity in micro/nano structures
- Composite Structure Analysis and Optimization
- Elasticity and Wave Propagation
- Nonlinear Differential Equations Analysis
- Brake Systems and Friction Analysis
- Solar Thermal and Photovoltaic Systems
- Advanced Harmonic Analysis Research
- Mathematical Analysis and Transform Methods
- Smart Grid Energy Management
- Nonlinear Waves and Solitons
- Nanofluid Flow and Heat Transfer
- Differential Equations and Boundary Problems
- Numerical methods for differential equations
- Advanced Adaptive Filtering Techniques
- Photovoltaic System Optimization Techniques
- Solar-Powered Water Purification Methods
- Electric Vehicles and Infrastructure
University of Tabuk
2022-2025
Harbin Institute of Technology
2012-2013
Sinnar University
2012-2013
This study delves into the existence, uniqueness, and stability of solutions for a nonlinear coupled system incorporating mixed generalized fractional derivatives. The is characterized by ψ-Caputo ϕ-Riemann-Liouville derivatives with boundary conditions. We provide essential preliminaries definitions, followed detailed analysis using fixed point theory to establish main results. Furthermore, we discuss Hyers-Ulam proposed illustrate theoretical findings several examples. extends generalizes...
The ability to treat saltwater make it suitable for human consumption has long been sought by mankind. More than three-quarters of the earth's surface is covered with saltwater. Although this water important some forms transportation and fishing, contains too much salt sustain life or agricultural activities. One way desalinate use solar energy-based technologies. these technologies a device evaporate condense water, along generation electricity through transparent photovoltaic panel,...
Abstract Motivated by the limitations of classical models in capturing behavior materials at micro/nanoscales, this work proposes an analytical formulation for thermoelastic damping (TED) circular cross-sectional micro/nanobeams with size-dependent mechanics and heat transfer. This model incorporates small-scale effect through modified couple stress theory (MCST) Moore-Gibson-Thompson (MGT) conduction. To accomplish objective, initial step involves introducing general equations MCST MGT...
We show how to adapt an efficient numerical algorithm obtain approximate solution of a system pantograph equations. This is based on combination Laplace transform and Adomian decomposition method. Numerical examples reveal that the method quite accurate efficient, it approximates very high degree accuracy after few iterates.
The main objective of this paper is to examine the stability and convergence Laplace-Adomian algorithm approximate solutions pantograph-type differential equations with multiple delays. This done by comparatively investigating it other methods.
We introduce a new form of Laplace decomposition algorithm (LDA). By this iterative method was achieved in which there is no need to calculate Adomian polynomials, require so much computational time for higher-order approximations. have implemented the solutions different types nonlinear pantograph equations support proposed analysis.
The differential transform method (DTM) is a reliable applied by providing new theorems to develop exact and approximate solutions of neutral functional-differential equation (NFDE) with proportional delays. results obtained the proposed methods are in good agreement one other methods. advantages this technique illustrated. It easy see that DTM very accurate implement finding analytical wide classes linear nonlinear NFDEs.
The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with Laguerre polynomials and for 2 are considered. We discuss a polynomial weight w that makes greater than or equal to continuous from L1 (wdμα) into L1,∞ (dμα), under specific value α, where μα is measure.