Results 51 to 60 of about 1,014 (157)

A new class of mixed fractional differential equations with integral boundary conditions

Moroccan Journal of Pure and Applied Analysis, 2021
This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind.
Somia Djiab, Brahim Nouiri
doaj   +1 more source

A Fractional‐Order Alcoholism Model Incorporating Hypothetical Social Influence: A Theoretical and Numerical Study

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study introduces a fractional‐order mathematical model for alcoholism dynamics using the Hilfer derivative to capture memory effects and hereditary properties within a unified framework. The model incorporates hypothetical social influence through sentiment‐based variables to represent positive and negative social interactions.
Ramsha Shafqat, Ateq Alsaadi, Abeer Alubaidi, Pramita Mishra   +3 more
wiley   +1 more source

Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

Advances in Difference Equations, 2011
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order
Tatar Nasser-eddine
doaj  

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Demonstratio Mathematica
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim, Khan Hassan, Kumam Poom, Tchier Fairouz, Singh Gurpreet   +4 more
doaj   +1 more source

Efficiently Addressing Fractional-Order Population Diffusion Equations: Kamal Residual Power Series Method

Asia Pacific Journal of Mathematics
. In this study, we utilized the Kamal residual power series method to solve the fractional-order population diffusion equation in the Caputo sense. This method combines the residual power series method with the Kamal transformation integral.
Prapart Pue-on, Teerapat Siriwat, A. Karnbanjong   +2 more
semanticscholar   +1 more source

Mathematical Modeling of Divorce Incidence With Social Media Influence Using Caputo Fractional Derivative

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Divorce has been an issue of concern in recent years, and with the emergence of social media, these issues are getting out of hand. Social media is seen to contribute to marital conflict by facilitating infidelity and promoting unrealistic expectations from couples, among other things.
Patience Pokuaa Gambrah, Davidon Jani, Kwasi Frempong Sarfo, Herman Matondo Mananga, Forster Owusu, Valerii Obukhovskii   +5 more
wiley   +1 more source

Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

Frontiers Appl. Math. Stat.
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi, J. G. Prasad, B. Alkahtani, R. S. Dubey   +3 more
semanticscholar   +1 more source

An Analytical‐Numerical Method for the Solution of Nonlinear Fractional Fredholm Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we investigate a numerical method for solving nonlinear fractional Fredholm integro‐differential equations with logarithmic weakly singular kernels. Since the direct solution of these equations using classical methods results in low accuracy and high computational cost due to the singular behavior of the exact solution at both endpoints ...
Ali Edham Awadh, Esmaeil Najafi, Guotao Wang   +2 more
wiley   +1 more source

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source