[LIBRO][B] Hadamard-type fractional differential equations, inclusions and inequalities

B Ahmad, A Alsaedi, SK Ntouyas, J Tariboon - 2017 - Springer
The recent studies on fractional differential equations indicate that a variety of interesting
and important results concerning existence and uniqueness of solutions, stability properties …

Coexistence of periodic, chaotic and hyperchaotic attractors in a system consisting of a Duffing oscillator coupled to a van der Pol oscillator

ST Tanekou, J Ramadoss, J Kengne… - … Journal of Bifurcation …, 2023 - World Scientific
Undoubtedly, multistability represents one of the most followed venues for researchers
working in the field of nonlinear science. Multistability refers to the situation where a …

Approximation methods for solving fractional equations

SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point …

SK Panda, T Abdeljawad, C Ravichandran - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

On coupled systems of time‐fractional differential problems by using a new fractional derivative

A Alsaedi, D Baleanu, S Etemad… - Journal of Function …, 2016 - Wiley Online Library
The existence of solutions for a coupled system of time‐fractional differential equations
including continuous functions and the Caputo‐Fabrizio fractional derivative is examined …

[HTML][HTML] Nonlinear fractional integro-differential equations on unbounded domains in a Banach space

L Zhang, B Ahmad, G Wang, RP Agarwal - Journal of Computational and …, 2013 - Elsevier
In this paper, by employing the fixed point theory and the monotone iterative technique, we
investigate the existence of a unique solution for a class of nonlinear fractional integro …

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

G Chai - Boundary Value Problems, 2012 - Springer
In this article, the author investigates the existence and multiplicity of positive solutions for
boundary value problem of fractional differential equation with p-Laplacian operator D 0+ β …

On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property

S Etemad, S Rezapour… - … Methods in the Applied …, 2020 - Wiley Online Library
In the present research manuscript, we introduce a novel general fractional boundary value
inclusion problem and investigate the necessary and sufficient conditions for desired …

Boundary value problems for a class of sequential integrodifferential equations of fractional order

B Ahmad, JJ Nieto - Journal of Function Spaces, 2013 - Wiley Online Library
We investigate the existence of solutions for a sequential integrodifferential equation of
fractional order with some boundary conditions. The existence results are established by …

[HTML][HTML] Existence and uniqueness of solutions to fractional differential equations with fractional boundary conditions

KK Saha, N Sukavanam, S Pan - Alexandria Engineering Journal, 2023 - Elsevier
Boundary conditions involving fractional derivatives of unknown functions are more general
and can be used to generalize Dirichlet-or Neumann-type boundary conditions. In this …