Exact traveling wave solutions and soliton solutions of conformable M-fractional modified nonlinear Schrödinger model

N Das, SS Ray - Optik, 2023 - Elsevier
The traveling wave solutions and soliton solutions of the conformable M-fractional modified
nonlinear Schrödinger equation have been devised in this work by employing the …

[PDF][PDF] New inequalities via Caputo-Fabrizio integral operator with applications

H Yang, S Qaisar, A Munir, M Naeem - Aims Math, 2023 - researchgate.net
Fractional integral inequalities have become one of the most useful and expansive tools for
the development of many fields of pure and applied mathematics over the past few years …

Generalized defensive modeling of malware propagation in WSNs using atangana–baleanu–caputo (ABC) fractional derivative

V Srivastava, PK Srivastava, J Mishra, RP Ojha… - IEEE …, 2023 - ieeexplore.ieee.org
The malware spreading in Wireless Sensor Network (WSN) has lately attracted the attention
of many researchers as a hot problem in nonlinear systems. WSN is a collection of sensor …

[PDF][PDF] On a coupled system under coupled integral boundary conditions involving non-singular differential operator

K Shah, T Abdeljawad, B Abdalla - AIMS Math, 2023 - aimspress.com
In this work, a coupled system under coupled integral boundary conditions with Caputo-
Fabrizio derivative (CFD) is considered. We intend to derive some necessary and sufficient …

An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability

MH Derakhshan, H Rezaei, HR Marasi - Mathematics and Computers in …, 2023 - Elsevier
This article proposes a numerical method to find the numerical solutions of the time-
fractional diffusion equations involving fractional distributed order operator of Caputo type …

[PDF][PDF] A coupled system of p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

D Nie, U Riaz, S Begum, A Zada - AIMS Math, 2023 - aimspress.com
A coupled system of $p$-Laplacian implicit fractional differential equations depending on
boundary conditions of integral type Page 1 http://www.aimspress.com/journal/Math AIMS …

[HTML][HTML] Study of 1+ 1 dimensional fractional order non-linear Benney equation using an analytical technique

I Ahmad, KJ Ansari, H Alrabaiah, D Santina… - … Differential Equations in …, 2024 - Elsevier
The area related to fractional order partial differential equations (FOPDEs) has also attracted
attention. Therefore, we focuss our attention to study nonlinear Benney equations of using …

[PDF][PDF] Approximation of solutions to integro-differential time fractional wave equations in space.

Y Zhao, Y Tang - Networks & Heterogeneous Media, 2023 - researchgate.net
In this paper, we investigate the abstract integro-differential time-fractional wave equation
with a small positive parameter ε. The Lp− Lq estimates for the resolvent operator family are …

[HTML][HTML] Solutions of fractional differential equations by using a blend of variational iteration method with Sumudu transform and application to price adjustment …

MO Aibinu, S Moyo - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
The presence of delays in a mathematical model can improve its vitality and suitability in
describing several phenomena. However, in the presence of delays, nonlinear fractional …

Existence results for sequential fractional integro-differential equations with impulsive conditions

P Karthikeyan, S Poornima - International Journal of Dynamics and Control, 2024 - Springer
In this paper, we investigate the existence and uniqueness results for sequential fractional
integro-differential equations with impulsive conditions. The nonlinear term contains the …