Solution of fractional differential equations in quasi-b-metric and b-metric-like spaces

H Afshari - Advances in Difference Equations, 2019 - Springer
Solution of fractional differential equations in quasi-b-metric and b-metric-like spaces | Advances
in Continuous and Discrete Models Skip to main content SpringerLink Account Menu Find a …

[HTML][HTML] Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Z Al-Zhour, N Al-Mutairi, F Alrawajeh… - Alexandria Engineering …, 2019 - Elsevier
In the present paper, we use efficient and simple algorithms of the fractional power series
and Adomain polynomial methods that provide effective tools for solving such linear and …

Application of the exp-function and generalized kudryashov methods for obtaining new exact solutions of certain nonlinear conformable time partial integro-differential …

S Kaewta, S Sirisubtawee, S Sungnul - Computation, 2021 - mdpi.com
The key objective of this paper is to construct exact traveling wave solutions of the
conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy …

Linear conformable differential system and its controllability

A Younas, T Abdeljawad, R Batool, A Zehra… - Advances in Difference …, 2020 - Springer
This article deals with the sequential conformable linear equations. We have focused on the
solution techniques of these equations and particularly on the controllability conditions of the …

[PDF][PDF] New properties for conformable fractional derivative and applications

L Sadek, A Akgül - Progr. Fract. Differ. Appl., 2024 - naturalspublishing.com
The fractional derivative (FD) has recently captured the minds of scientists. The most
common are Riemann-Liouville (RL) and Caputo (C). These fractional derivatives have …

Study of a coupled system with sub-strip and multi-valued boundary conditions via topological degree theory on an infinite domain

SW Ahmad, M Sarwar, K Shah, Eiman, T Abdeljawad - Symmetry, 2022 - mdpi.com
The existence and uniqueness of solutions for a coupled system of Liouville–Caputo type
fractional integro-differential equations with multi-point and sub-strip boundary conditions …

Analytical Solution of One‐Dimensional Nonlinear Conformable Fractional Telegraph Equation by Reduced Differential Transform Method

AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
to obtain the analytical solution of the space‐time conformable fractional telegraph equation …

Some fundamental results on fuzzy conformable differential calculus

A Younus, M Asif, U Atta, T Bashir… - Journal of Fractional …, 2021 - sabapub.com
In this paper, we combine fuzzy calculus, and conformable calculus to introduce the fuzzy
conformable calculus. We define the fuzzy conformable derivative of order $2\Psi $ and …

Controllability of infinite-dimensional conformable linear and semilinear systems

T Ennouari, B Abouzaid, ME Achhab - International Journal of Dynamics …, 2023 - Springer
The current paper discusses the controllability of systems governed by infinite-dimensional
linear and semilinear conformable differential equations. By stating conformable …

[HTML][HTML] New theoretical results and applications on conformable fractional Natural transform

Z Al-Zhour, N Al-Mutairi, F Alrawajeh… - Ain Shams Engineering …, 2021 - Elsevier
In this paper, we proceed on to develop the classical Natural transform to fractional order in
the sense of conformable derivative and set the basic concepts in this new interesting …