Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations by Haidong Qu, Xiaopeng Yang, Zihang She

“…The left and right fractional differential expressions in Caputo sense of the SFLPs are derived. As an application, it is effective for solving the fractional-order differential equations with the initial value problem by using the SFLP tau method.…”
Get full text

On the Stability of Some Discrete Fractional Nonautonomous Systems by Fahd Jarad, Thabet Abdeljawad, Dumitru Baleanu, Kübra Biçen

“…Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are discussed.…”
Get full text

Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method by Wenjin Li, Yanni Pang

“…This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. …”
Get full text

On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) by Mohammed M. Matar, Esmail S. Abu Skhail

“…We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.…”
Get full text

Pell Collocation Method for Solving the Nonlinear Time–Fractional Partial Integro–Differential Equation with a Weakly Singular Kernel by M. Taghipour, H. Aminikhah

“…For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative, nonlinear, and integro–differential terms; and by collocation points, we transform the problem to a system of nonlinear equations. …”
Get full text

A High Accuracy Numerical Method Based on Interpolation Technique for Time-Fractional Advection-Diffusion Equations by Yan Chen, Xindong Zhang

“…In order to approximate the fractional derivative under the definition of Caputo, BLICM is used to approximate the unknown function. …”
Get full text

Modified Homotopy Perturbation Method for Solving Fractional Differential Equations by A. A. Hemeda

“…The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. …”
Get full text

The Fractional Complex Step Method by Rabha W. Ibrahim, Hamid A. Jalab

“…The fractional calculus can be taken in the sense of the Caputo operator, Riemann-Liouville operator, and so forth. …”
Get full text

Template REVES by Antonio Marcos de Oliveira Siqueira, Aldair Oliveira de Andrade, Wagner dos Reis Marques Araujo, Revista Relações Sociais REVES

“…Para atender o objetivo de padronização de estilo e layout, apresenta-se neste documento o modelo de formatação de artigo científico criado para o programa Microsoft Word. …”
Get full text

Optimizing Public Spaces for Age-Friendly Living: Renovation Strategies for 1980s Residential Communities in Hangzhou, China by Min Gong, Ning Wang, Yubei Chu, Yiyao Wu, Jiadi Huang, Jing Wu

“…Following a structured research framework encompassing investigation, evaluation, design, and discussion, this study first analyzes linear grid layouts and usage patterns of these communities. Then, the research team uses post-occupancy evaluation (POE) to assess the age-friendliness of outdoor public spaces. …”
Get full text

Template REVES by Revista Relações Sociais REVES, Antonio Marcos de Oliveira Siqueira, Wagner dos Reis Marques Araujo, Aldair Oliveira de Andrade

“…Para atender o objetivo de padronização de estilo e layout, apresenta-se neste documento o modelo de formatação de artigo científico criado para o programa Microsoft Word. …”
Get full text

Numerical Simulation and Optimization of Outdoor Wind Environment in High-Rise Buildings Zone of Xuzhou City by Huanhuan Fang, Xiang Ji, Jiuxin Wang, Jijun Lu, Mengcheng Yang, Jiajun Li, Zhongcheng Duan

“…The study comprehensively examines the effects of building height, width, orientation, spacing, and layout on the outdoor wind field, progressing from individual building units to clusters. …”
Get full text

mHealth App to Promote Healthy Lifestyles for Diverse Families Living in Rural Areas: Usability Study by Alejandra Perez Ramirez, Adrian Ortega, Natalie Stephenson, Angel Muñoz Osorio, Anne Kazak, Thao-Ly Phan

“…Preferences on the dashboard icon and resource page layout were also collected. Testing was done until feedback reached saturation and no additional substantive changes were suggested. …”
Get full text

Exposer la sculpture dans l’Albertinum de Dresde : passé, présent et futur by Astrid Nielsen

“…With a completely new layout of the sculpture collection and the gallery of new masters of the Dresden state collections, the building exhibits works of art from the Romantic period to the present. …”
Get full text

Fins & Scales: An Introduction to Bony Fish—A Marine Science Project Guide for 4-H Leaders and Educators by Karen Blyler

“…The Leaders Guide follows the layout of the Youth Project Book and provides a suggested approach for each section. …”
Get full text

Le bâtiment routier du col de Montgenèvre (Hautes-Alpes) : fouille archéologique et patrimonialisation d’une traversée alpine by Philippe Leveau, Patrick Reynaud

“…In 2010, a preventive archaeology operation uncovered the southwest corner of a building from the Roman era that was set around a courtyard portico. Its layout, which approximates that of the hostels to be found in the Little and Great St Bernard passes, and its proximity to a Roman road and to a monumental shrine, suggest that it was used to accommodate those travelling through the pass. …”
Get full text

A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. …”
Get full text

Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space by Mabrouk Bragdi, Amar Debbouche, Dumitru Baleanu

“…We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2<α<3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis.…”
Get full text

A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations by Qazi Mahmood Ul Hassan, Jamshad Ahmad, Muhammad Shakeel

“…We use the fractional derivatives in Caputo’s sense to construct exact solutions to fractional fifth order nonlinear evolution equations. …”
Get full text

Les communes bretonnes sur le Web by Hélène Martin-Brelot, Patrick Dieudonné, Jérôme Sawtschuk

“…We also identify differences in the graphs layouts according to the studied « départements » (Morbihan and Finistère).…”
Get full text