Results 51 to 60 of about 251 (140)

Semianalytical Solutions of a Caputo–Fabrizio Fractional Epidemic Model via the q‐Kushare Homotopy Transform Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, an enhanced semianalytical framework is developed for solving nonlinear fractional differential equations involving the Caputo–Fabrizio fractional operator. The proposed Caputo–Fabrizio q‐Kushare homotopy analysis transform method (CFq‐KHATM) combines the Caputo–Fabrizio derivative, Kushare transform, and q‐homotopy analysis within a ...
Aslı Alkan, Halil Anaç, Smritijit Sen
wiley   +1 more source

Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations [PDF]

, 2011
MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called ...
Hahn, Marjorie, Umarov, Sabir
core  

Numerical Solutions of the Conformable Time‐Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation With Proportional Delay by Using the Novel Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan, Funda Turk, Hasan Bulut, Ercan Çelik, Smritijit Sen   +4 more
wiley   +1 more source

Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed, Rahmani Mostafa, Anane Aomar, Massar Mohammed   +3 more
doaj   +1 more source

Fractional Adomian J‐Transform Method for Time‐Fractional Diffusion‐Wave Equations: Theory and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this research, we introduce the fractional Adomian J‐transform method FAJM, which functions as a robust hybrid analytical‐numerical framework. Diverging from traditional transform techniques, the FAJM leverages the specific scaling attributes of the J‐transform to streamline the inversion of nonlocal fractional operators.
Nazek A. Obeidat, Mahmoud S. Rawashdeh, Ali M. Baniatta, Pramita Mishra   +3 more
wiley   +1 more source

Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Moroccan Journal of Pure and Applied Analysis, 2020
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
doaj   +1 more source

An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative [PDF]

, 2010
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville
Repin, Oleg, Kilbas, Anatoly
core  

Nonautonomous fractional Hamiltonian system with critical exponential growth

, 2019
International audienceIn this paper, we study the following nonlocal nonautonomous Hamiltonian system on whole R (−∆) 1 2 u + u = Q(x)g(v) in R, (−∆) 1 2 v + v = P (x)f (u) in R, where (−∆) 1 2 is the square root Laplacian operator.
Marcos, João, Mishra, Pawan, Kumar, Giacomoni, Jacques   +2 more
core   +1 more source

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed, Deepak B. Pachpatte, Elena Kaikina   +2 more
wiley   +1 more source

Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions [PDF]

, 2012
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space ...
Al-Saqabi, Bader, Boyadjiev, Lyubomir
core