[PDF][PDF] BEYOND LAPLACE AND FOURIER TRANSFORMS Challenges and Future Prospects.
HE Ji-Huan, N Anjum, HE Chun-Hui… - Thermal …, 2023 - thermalscience.vinca.rs
Laplace and Fourier transforms are widely used independently in engineering for linear
differential equations including fractional differential equations. Here we introduce a …
differential equations including fractional differential equations. Here we introduce a …
Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators
The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
A novel numerical technique for fractional ordinary differential equations with proportional delay
Some researchers have combined two powerful techniques to establish a new method for
solving fractional‐order differential equations. In this study, we used a new combined …
solving fractional‐order differential equations. In this study, we used a new combined …
Analytic fuzzy formulation of a time-fractional Fornberg–Whitham model with power and Mittag–Leffler kernels
This manuscript assesses a semi-analytical method in connection with a new hybrid fuzzy
integral transform and the Adomian decomposition method via the notion of fuzziness known …
integral transform and the Adomian decomposition method via the notion of fuzziness known …
A novel treatment of fuzzy fractional Swift–Hohenberg equation for a hybrid transform within the fractional derivative operator
This article investigates the semi-analytical method coupled with a new hybrid fuzzy integral
transform and the Adomian decomposition method via the notion of fuzziness known as the …
transform and the Adomian decomposition method via the notion of fuzziness known as the …
New generalized integral transform on Hilfer–Prabhakar fractional derivatives and its applications
In this paper, we obtain the new generalized integral transform of the Prabhakar integral,
Prabhakar derivative, and Hilfer–Prabhakar fractional derivatives. Using these results, we …
Prabhakar derivative, and Hilfer–Prabhakar fractional derivatives. Using these results, we …
[PDF][PDF] A Generalized Hybrid Method for Handling Fractional Caputo Partial Differential Equations via Homotopy Perturbed Analysis
This article describes a novel hybrid technique known as the Sawi transform homotopy
perturbation method for solving Caputo fractional partial differential equations. Combining …
perturbation method for solving Caputo fractional partial differential equations. Combining …
On the Analytical Treatment for the Fractional‐Order Coupled Partial Differential Equations via Fixed Point Formulation and Generalized Fractional Derivative …
High‐dimensional fractional equation investigation is a cutting‐edge discipline with
considerable pragmatic and speculative consequences in engineering, epidemiology, and …
considerable pragmatic and speculative consequences in engineering, epidemiology, and …
[PDF][PDF] A Novel Configuration of the Fuzzy Elzaki Transform for Solving Nonlinear Partial Differential Equations via Fuzzy Fractional Derivative with General Order …
The primary goal of this research is to generalize the definition of Caputo fractional
derivatives (in short, CFDs)(of order 0< α< r) by employing all conceivable configurations of …
derivatives (in short, CFDs)(of order 0< α< r) by employing all conceivable configurations of …
[PDF][PDF] Research Article A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay
Some researchers have combined two powerful techniques to establish a new method for
solving fractional-order differential equations. In this study, we used a new combined …
solving fractional-order differential equations. In this study, we used a new combined …