[PDF][PDF] Measure of noncompactness and fractional hybrid differential equations with hybrid conditions

C Derbazi, H Hammouche, A Salim… - Differ. Equ. Appl, 2022 - researchgate.net
This paper deals with the existence of solutions for hybrid fractional differential equations
involving Caputo fractional derivative of order 2< ζ≤ 3. We base our arguments on a …

[PDF][PDF] Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces

A Boutiara, K Guerbati, M Benbachir - Aims Math, 2020 - researchgate.net
We introduce a more general class of fractional-order boundary value problems involving
the Caputo-Hadamard fractional derivative. Existence results for the given problem are …

Tripled fixed points and existence study to a tripled impulsive fractional differential system via measures of noncompactness

S Etemad, MM Matar, MA Ragusa, S Rezapour - Mathematics, 2021 - mdpi.com
In this paper, a tripled fractional differential system is introduced as three associated
impulsive equations. The existence investigation of the solution is based on contraction …

[BOOK][B] Advanced functional analysis

E Malkowsky, V Rakočević - 2019 - taylorfrancis.com
Functional analysis and operator theory are widely used in the description, understanding
and control of dynamical systems and natural processes in physics, chemistry, medicine and …

On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it

M Rabbani, A Deep, Deepmala - Mathematical Sciences, 2021 - Springer
Existence of solution for functional integral equations of two variables is established in this
article under some weaker conditions in a Banach algebra space C (0, b * 0, b, R), b> 0 C (0 …

Solvability of Implicit Fractional Order Integral Equation in p(1 ≤ p<∞) Space via Generalized Darbo's Fixed Point Theorem

I Haque, J Ali, M Mursaleen - Journal of Function Spaces, 2022 - Wiley Online Library
We present a generalization of Darbo's fixed point theorem in this article, and we use it to
investigate the solvability of an infinite system of fractional order integral equations in ℓp (1≤ …

[PDF][PDF] Caputo type fractional differential equation with nonlocal Erdélyi-Kober type integral boundary conditions in Banach spaces

A Boutiara, M Benbachir, K Guerbati - Math. Appl, 2020 - academia.edu
In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional
differential equations supplemented with Erdélyi-Kober type fractional integral boundary …

New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of -Hilfer fractional differential equations

PR Patle, M Gabeleh, V Rakočević… - Revista de la Real …, 2023 - Springer
With the aim to prove the existence of optimum solutions of a system of ψ-Hilfer fractional
differential equations, this work considers a new class of cyclic (noncyclic) condensing …

Investigating Asymptotic Stability for Hybrid Cubic Integral Inclusion with Fractal Feedback Control on the Real Half-Axis

HHG Hashem, AMA El-Sayed, SM Al-Issa - Fractal and Fractional, 2023 - mdpi.com
In this paper, we discuss the existence of solutions for a hybrid cubic delayed integral
inclusion with fractal feedback control. We are seeking solutions for these hybrid cubic …

On solution of generalized proportional fractional integral via a new fixed point theorem

A Das, I Suwan, BC Deuri, T Abdeljawad - Advances in Difference …, 2021 - Springer
The aim of this paper is the solvability of generalized proportional fractional (GPF) integral
equation at Banach space E E. Herein, we have established a new fixed point theorem …