Existence of positive solutions for weighted fractional order differential equations

MS Abdo, T Abdeljawad, SM Ali, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we deliberate two classes of initial value problems for nonlinear fractional
differential equations under a version weighted generalized of Caputo fractional derivative …

Stability results of positive solutions for a system of ψ-Hilfer fractional differential equations

MA Almalahi, SK Panchal, F Jarad - Chaos, Solitons & Fractals, 2021 - Elsevier
The major objective of this work is to investigate sufficient conditions of existence and
uniqueness of positive solutions for a finite system of ψ-Hilfer fractional differential …

Positive solutions for generalized Caputo fractional differential equations using lower and upper solutions method

HA Wahash, SK Panchal - Journal of Fractional Calculus and …, 2020 - sabapub.com
Positive solutions for generalized Caputo fractional differential equations using lower and upper
solutions method Page 1 Journal of Fractional Calculus and Nonlinear Systems J Frac Calc & …

Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions

HA Wahash, SK Panchal, MS Abdo - Journal of Mathematical …, 2020 - jmm.guilan.ac.ir
This article is devoted to the study of a new class of nonlinear fractional-order differential
equations with integral boundary conditions involving a generalized version of the Caputo …

Positive solutions for fractional boundary value problems under a generalized fractional operator

MB Jeelani, AM Saeed, MS Abdo… - … Methods in the Applied …, 2021 - Wiley Online Library
The work reported here concerns the study of a generalized nonlinear fractional boundary
value problem involving ϑ‐fractional derivative in the Riemann–Liouville sense. The …

Chaos analysis of nonlinear variable order fractional hyperchaotic Chen system utilizing radial basis function neural network

S Hussain, Z Bashir, MG Malik - Cognitive Neurodynamics, 2024 - Springer
This research explores the various chaotic features of the hyperchaotic Chen dynamical
system within a variable order fractional (VOF) calculus framework, employing an innovative …

Positive solution for a class of Caputo-type fractional differential equations

J Patil, A Chaudhari, MS Abdo, B Hardan… - Journal of Mathematical …, 2021 - sabapub.com
In this paper, we investigate the existence and uniqueness of positive solutions for a class of
Caputo-type fractional differential equations with nonlocal integral boundary conditions. Our …

Investigation of the existence and uniqueness of solutions for higher order fractional differential inclusions and equations with integral boundary conditions

A Lachouri, A Ardjouni, A Djoudi - Journal of Interdisciplinary …, 2021 - Taylor & Francis
In this work, we give some novel uniqueness and existence results for higher order fractional
differential inclusions and equations with integral boundary conditions. Our results are …

Exploring the Lower and Upper Solutions Approach for ABC-Fractional Derivative Differential Equations

I Talib, MB Riaz, A Batool, C Tunç - International Journal of Applied and …, 2024 - Springer
The lower and upper solution approach has been widely employed in the literature to
ensure the existence of solutions for integer-order boundary value problems. Therefore, in …

[PDF][PDF] Existence results for integral boundary value problems of fractional differential equations with two nonlinear terms in banach spaces

A Lachouri, A Ardjouni, A Djoudi - Bull. Int. Math. Virtual Inst, 2021 - imvibl.org
In this paper, we study the existence of solutions for a boundary value problem of fractional
differential equations with integral boundary conditions by using measure of …