Results 31 to 40 of about 596 (184)

On the Stability of Fractional Integro-Differential Equations of Ψ-Hilfer Type

Journal of Function Spaces
MSC2020 Classification: 26A33, 26D10 ...
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar   +2 more
doaj   +1 more source

Khalouta transform and applications to Caputo-fractional differential equations

Frontiers in Applied Mathematics and Statistics
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative.
Nikita Kumawat, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
doaj   +1 more source

Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control

Nonlinear Engineering, 2016
Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan, Karthikeyan Anitha   +1 more
doaj   +1 more source

On the Solution Structure of Sequential φ‐Hilfer Fractional Differential Equations With p‐Laplacian Operator

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid, Khellaf Ould Melha, Mohammad Esmael Samei, Sabri T. M. Thabet, Taoufik Moulahi, Thabet Abdeljawad, Higinio Ramos Calle   +6 more
wiley   +1 more source

Existence and Ulam stability results for Hadamard partial fractional integral inclusions via Picard operators: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

, 2023
In this paper, by using the weakly Picard operators theory, we investigate some existence and Ulam type stability results for a class of Hadamard partial fractional integral inclusions.
BENCHOHRA, Mouffak, PETRUȘEL, Adrian, ABBAS, Saïd, ALBARAKATI, Wafaa   +3 more
core  

A Novel Fractional Iterative Technique of Order (2λ + 1) With Applications to Engineering

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
Fractional derivatives are widely used to model complex phenomena where classical derivatives fail to provide accurate solutions. As a result, iterative methods involving fractional derivatives have become highly significant for addressing such challenges.
Saima Akram, Faiza Akram, Mutti-Ur Rehman, Rida Batool, Tursunov Boxodir Junaydullayevich, Rajesh Kumar   +5 more
wiley   +1 more source

Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function [PDF]

, 2018
In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas, FARID, Ghulam, ABBAS, Ghulam, Ghulam Farid   +3 more
core   +1 more source

Construction of Second‐ and Fourth‐Order RK‐Type Methods for Solving Fractional Differential Equations of the First Order

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
In the present work, two distinct Runge–Kutta methods based on the conformable derivative were introduced for solving fractional differential equations of the first order. Both proposed methods were defined as second‐ and fourth‐order and derived from Taylor series expansions and integral quadrature.
Elyas Arsanjani Toroqi, Seyed Reza Mirshafaei, Rodica Luca   +2 more
wiley   +1 more source

Boundary value problem with fractional p-Laplacian operator

Advances in Nonlinear Analysis, 2016
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source