An Enhanced Phase Gradient Autofocus Algorithm for SAR: A Fractional Fourier Transform Approach by Kanghyuk Seo, Yonghwi Kwon, Chul Ki Kim

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On the solution of two-dimensional local fractional LWR model of fractal vehicular traffic flow by Pranay Goswami, Bhawna Pokhriyal, Kranti Kumar

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A fractional-order differential equation model of diabetes mellitus type by Shikha Dadhich, Mahaveer Prasad Yadav, Kritika

“…Here, a numerical algorithm based on Fractional Homotopy Analysis Transform Method (FHATM) is constituted to study the fractional form of the model for Diabetes Mellitus Type [Formula: see text]. …”
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Dynamics of the Traveling Wave Solutions of Fractional Date–Jimbo–Kashiwara–Miwa Equation via Riccati–Bernoulli Sub-ODE Method through Bäcklund Transformation by M. Mossa Al-Sawalha, Saima Noor, Mohammad Alqudah, Musaad S. Aldhabani, Roman Ullah

“…The dynamical wave solutions of the time–space fractional Date–Jimbo–Kashiwara–Miwa (DJKM) equation have been obtained in this article using an innovative and efficient technique including the Riccati–Bernoulli sub-ODE method through Bäcklund transformation. …”
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Robust Fractional Low Order Adaptive Linear Chirplet Transform and Its Application to Fault Analysis by Junbo Long, Changshou Deng, Haibin Wang, Youxue Zhou

“…Based on the insensitive property of fractional low-order statistics for infinite variance and Gaussian processes, robust fractional lower order adaptive linear chirplet transform (FLOACT) and fractional lower order adaptive scaling chirplet transform (FLOASCT) methods are proposed to suppress the mixed complex noise in this paper. …”
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The Efficient Method to Solve the Conformable Time Fractional Benney Equation by Hakkı Güngör

“…Conformable fractional Benney equations have been examined by the conformable q-Shehu analysis transform method. …”
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New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method by Shi Da, Li Zhao

“…After fractional order travelling transformation, the partial differential equation studied in this article is transformed into ordinary differential equation and connected with a quadratic polynomial. …”
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On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis by Saima Rashid, Rehana Ashraf, Ebenezer Bonyah

“…To investigate the closed form solutions, we employed a fractional complex transform to deal with a partial differential equation of fractional order and a generalized decomposition method was applied to analyze the nonlinear equation. …”
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Stat-Space Approach to Three-Dimensional Thermoelastic Half-Space Based on Fractional Order Heat Conduction and Variable Thermal Conductivity Under Moor–Gibson–Thompson Theorem by Hamdy M. Youssef

“…The non-dimensional governing equations using Laplace and double Fourier transform methods have been applied to a three-dimensional thermoelastic, isotropic, and homogeneous half-space exposed to a rectangular thermal loading pulse with a traction-free surface. …”
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New insights into fractional twin-core couplers: bifurcation and sensitivity analysis by Zizhao Zhou, M. S. Abbas, K. El-Rashidy, Intakhab Alam Qadri, Muhammad Abuzar, Ali Akgül, Murad Khan Hassani

“…Abstract This paper analyses the analytical solutions of the fractional twin-core coupler (fTCC) equations, which include Kerr law nonlinearity, utilising the unified and sub-ODE methods along with beta and M-truncated fractional derivatives. …”
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Deep learning of the particulate and mineral-associated organic carbon fractions using a compositional transform and mid-infrared spectroscopy by Mingxi Zhang, Zefang Shen, Lewis Walden, Farid Sepanta, Zhongkui Luo, Lei Gao, Oscar Serrano, Raphael A. Viscarra Rossel

“…Mid-infrared (MIR) spectroscopy combined with multivariate modelling can alleviate these limitations because the method can estimate SOC and its fractions rapidly, cost-effectively and accurately. …”
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TREATMENT OUTCOMES OF THE ALVEOLAR RIDGE REGRESSIVE TRANSFORMATION USING AUTOLOGOUS ADIPOSE-TISSUE DERIVED STROMAL VASCULAR FRACTION by Marina D. Perova, Vladimir B. Karpyuk, Igor A. Sevostyanov, Irina V. Gilevich

“…The study was performed in order to assess the size, structure and chewing ability of the maxillary ridge reconstructed using autologous adipose-tissue derived stromal vascular fraction (ATD SVF) in a long-term study (10 years).Materials and methods. …”
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Analytical solutions of the time-fractional symmetric regularized long wave equation using the $$\phi ^{6}$$ model expansion method by Khaled Aldwoah, Nidal Eljaneid, Bakri Younis, Mohammed Alsharafi, Osman Osman, Blgys Muflh

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Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation by Muhammad Shakeel, Fehaid Salem Alshammari, Hameed Gul Ahmadzai

“…For this purpose, a wave transformation is applied to convert the fractional PGI Equation to a non-linear ODE. …”
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Exploring the dynamics of multiplicative noise on the fractional stochastic Fokas-Lenells equation by Ali R. Ansari, Adil Jhangeer, Beenish, Mudassar Imran, Abdallah M. Talafha

“…The new extended direct algebraic method is applied to construct various types of fractional solutions, including trigonometric, complex, hyperbolic, and exponential forms. …”
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Mathematical analysis of Prandtl number with Artificial neural network and fractional operator for nanofluid flow by Muhammad Ramzan, Ahmad Shafique, Shajar Abbas, Rifaqat Ali, Tarik Lamoudan, Rashid Jan, Muyassar Norberdiyeva, Bakhora Turabova, Hakim AL Garalleh

“…The innovation is in achieving unique outcomes by combining the effects of mass transport and heat over a plate. Methods:: The governing partial differential equations are non-dimensionalized and solved using the Laplace transform method. …”
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Fast Fourier transform analysis of intraoperative transit-time flow measurement during coronary artery bypass grafting by Yoshiyuki Takami, Atsuo Maekawa, Koji Yamana, Kiyotoshi Akita, Kentaro Amano, Kazuki Matsuhashi, Wakana Niwa, Yasushi Takagi

“…Abstract As the current guidelines on myocardial revascularization recommend, transit-time flow measurement (TTFM) is increasingly used for intraoperative graft flow analysis during coronary artery bypass grafting (CABG) as a less invasive, more highly reproducible, and less time-consuming method. In addition to the morphological assessment using color Doppler, mean graft flow (Qm) > 15 ml/min, pulsatility index (PI) < 5.0, diastolic filling (DF) > 50%, and systolic reverse flow (SRF) < 4% have been reported to predict patent CABG grafts. …”
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An Approximate Analytical View of Fractional Physical Models in the Frame of the Caputo Operator by Mashael M. AlBaidani, Abdul Hamid Ganie, Adnan Khan, Fahad Aljuaydi

“…Additionally, we compare our results with the Laplace residual power series method (LRPSM), the natural transform decomposition method (NTDM), and the homotopy analysis shehu transform method (HASTM). …”
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Analytical Solutions for the Equal Width Equations Containing Generalized Fractional Derivative Using the Efficient Combined Method by Mohammadhossein Derakhshan

“…In this paper, the efficient combined method based on the homotopy perturbation Sadik transform method  (HPSTM) is applied to solve the physical and functional equations containing the Caputo–Prabhakar fractional derivative. …”
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A new method to solve multi-objective linear fractional programming problem in fuzzy stochastic environment by Ajeet Kumar, Babita Mishra

“…The chance-constrained programming method is utilized to transform the MOFSLFPP into its equivalent crisp form. …”
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