Existence and uniqueness of solutions for fractional neutral volterra-fredholm integro differential equations

A Hamoud - Advances in the Theory of Nonlinear Analysis and its …, 2020 - dergipark.org.tr
The topic fractional calculus can be measured as an old as well as a new subject. In the
fractional calculus the various integral inequalities plays an important role in the study of …

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: modeling and hardware implementation

AG Butkovskii, SS Postnov, EA Postnova - Automation and Remote Control, 2013 - Springer
The review was devoted to describing the dynamics of various systems and control
processes in terms of the fractional integro-differential calculus. Consideration was given to …

Existence and uniqueness results for Volterra-Fredholm integro differential equations

A Hamoud, N Mohammed, K Ghadle - Advances in the Theory of …, 2020 - dergipark.org.tr
This paper establishes a study on some important latest innovations in the existence and
uniqueness results by means of Krasnoselskii's fixed point and the Banach fixed point …

Note on controllability of linear fractional dynamical systems

K Balachandran, M Matar, JJ Trujillo - Journal of Control and …, 2016 - Taylor & Francis
In this article, we obtain the solutions of some fractional differential systems with different
orders using the inverse operator method and Mittag–Leffler function. Moreover, the …

Some new uniqueness results for fractional integro-differential equations

KH Hussain, AA Hamoud… - … Functional Analysis and …, 2019 - nfaa.kyungnam.ac.kr
The main objective of this paper is to investigate and prove the existence and uniqueness
theorems of the solution of nonlinear Volterra-Fredholm integro-differential equations of …

[HTML][HTML] Existence and controllability of fractional semilinear mixed Volterra-Fredholm integro differential equation

S Hussain, M Sarwar, N Mlaiki, F Azmi - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, the existence of mild solution and controllability of fractional semilinear mixed
Volterra–Fredholm integro differential equations of order 1< γ< 2 with nonlocal conditions …

[HTML][HTML] Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators

E Hernández, D O'Regan, K Balachandran - Indagationes mathematicae, 2013 - Elsevier
In our paper [10] we discussed an error in the recent literature on abstract fractional
differential equations and we proposed a different approach to treat these type of problems …

Uniqueness and stability results for Caputo fractional Volterra-Fredholm integro-differential equations

AA Hamoud - 2021 - elib.sfu-kras.ru
In this paper, we established some new results concerning the uniqueness and Ulam's
stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential …

Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions

MM Matar, IA Amra, J Alzabut - Boundary Value Problems, 2020 - Springer
In this paper, we introduce and study a tripled system of three associated fractional
differential equations. Prior to proceeding to the main results, the proposed system is …

Дробное интегро-дифференциальное исчисление и его приложения в теории управления. I. Математические основы и проблема интерпретации

АГ Бутковский, СС Постнов… - Автоматика и …, 2013 - mathnet.ru
Дробное интегро-дифференциальное исчисление (в дальнейшем–дробное
исчисление, ДИ) развивается уже более трёхсот лет, беря начало от обсуждения в …