On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

B Ahmad, S Sivasundaram - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we prove the existence and uniqueness of solutions for a four-point nonlocal
boundary value problem of nonlinear integro-differential equations of fractional order q∈(1 …

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

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

Well‐Posedness and Stability for a Differential Problem with Hilfer‐Hadamard Fractional Derivative

MD Kassim, NE Tatar - Abstract and Applied Analysis, 2013 - Wiley Online Library
Motivated by the Hilfer fractional derivative (which interpolates the Riemann‐Liouville
derivative and the Caputo derivative), we consider a new type of fractional derivative (which …

Boundary Value Problem for Fractional q-Difference Equations with Integral Conditions in Banach Spaces

N Allouch, JR Graef, S Hamani - Fractal and Fractional, 2022 - mdpi.com
The authors investigate the existence of solutions to a class of boundary value problems for
fractional q-difference equations in a Banach space that involves aq-derivative of the Caputo …

A class of nonlinear boundary value problems for an arbitrary fractional-order differential equation with the Riemann-Stieltjes functional integral and infinite-point …

HM Srivastava, AMA El-Sayed, FM Gaafar - Symmetry, 2018 - mdpi.com
In this paper, we investigate the existence of an absolute continuous solution to a class of
first-order nonlinear differential equation with integral boundary conditions (BCs) or with …

[PDF][PDF] Positive solutions of systems of Caputo fractional differential equations

KQ Lan, W Lin - Commun. Appl. Anal, 2013 - math.fudan.edu.cn
We obtain new results on existence of multiple positive solutions of systems of nonlinear
Caputo fractional differential equations with some of general separated boundary conditions …

Path tracking of permanent magnet synchronous motor using fractional order fuzzy PID controller

CQ Zhong, L Wang, CF Xu - Symmetry, 2021 - mdpi.com
Permanent magnet synchronous motor (PMSM) AC servo system has the characteristics of
uncertainty, time-varying, nonlinear and fractional order. Applying the traditional control …

Existence and uniqueness of solutions for nonlinear fractional differential equations with non-separated type integral boundary conditions

B Ahmad, JJ Nieto, A Alsaedi - Acta Mathematica Scientia, 2011 - Elsevier
In this paper, we study a boundary value problem of nonlinear fractional differential
equations of order q (1< q≤ 2) with non-separated integral boundary conditions. Some new …

Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation

A El-Sayed, R Gamal - Nonlinear Analysis: Modelling and Control, 2019 - zurnalai.vu.lt
Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation Page
1 https://doi.org/10.15388/NA.2019.5.4 Nonlinear Analysis: Modelling and Control, Vol. 24, No …

Existence of solution for some φ-Caputo fractional differential inclusions via Wardowski-Mizoguchi-Takahashi multi-valued contractions

PM Mohammadi Babak, MM Parvanah Vahid - Filomat, 2023 - scidar.kg.ac.rs
In this study, we examine the existence of solution for some φ-Caputo fractional differential
inclusions with arbitrary coefficients with boundary values using Wardowski-Mizoguchi …