Results 21 to 30 of about 341,444 (262)

Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method

Journal of Applied Mathematics, 2015
User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations.
Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Maha Al-Humyani   +3 more
doaj   +1 more source

On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations

Journal of Function Spaces, 2022
This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions.
Mohammed A. Almalahi, Satish K. Panchal, Mohammed S. Abdo, Fahd Jarad   +3 more
doaj   +1 more source

INVESTIGATION OF OSCILLATORY SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS OF SECOND ORDER IN A CRITICAL CASE

Моделирование и анализ информационных систем, 2015
We consider a differential-difference equation of second order of delay type, containing the delay of the function and its derivatives. Such equations occur in the modeling of electronic devices.
E. P. Kubyshkin, A. R. Moryakova
doaj   +1 more source

Eulerian and Lagrangian solutions to the continuity and Euler equations with $L^1$ vorticity [PDF]

, 2017
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of an $L^1$ function, extending the Lagrangian theory in \cite ...
Crippa, Gianluca, Nobili, Camilla, Seis, Christian, Spirito, Stefano   +3 more
core   +2 more sources

Representation and stability of solutions of systems of functional differential equations with multiple delays

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper is devoted to the study of systems of nonlinear functional differential equations with time-dependent coefficients and multiple variable increasing delays represented by functions $g_i(t)
Michal Pospíšil
doaj   +1 more source

Finite disturbance effect on the stability of a laminar incompressible wake behind a flat plate [PDF]

, 1969
An integral method is used to investigate the interaction between a two-dimensional, single frequency finite amplitude disturbance in a laminar, incompressible wake behind a flat plate at zero incidence. The mean flow is assumed to be a non-parallel flow
Ko, D. Ru-Sue, Kubota, T., Lees, L.
core   +2 more sources

Existence and stability results for impulsive (k,ψ)-Hilfer fractional double integro-differential equation with mixed nonlocal conditions

AIMS Mathematics, 2023
This paper investigates a class of nonlinear impulsive fractional integro-differential equations with mixed nonlocal boundary conditions (multi-point and multi-term) that involves $ (\rho_{k}, \psi_{k}) $-Hilfer fractional derivative.
Weerawat Sudsutad , Wicharn Lewkeeratiyutkul, Chatthai Thaiprayoon, Jutarat Kongson   +3 more
doaj   +1 more source

On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions

Mathematics, 2019
This manuscript is devoted to establishing existence theory of solutions to a nonlinear coupled system of fractional order differential equations (FODEs) under integral boundary conditions (IBCs).
Kamal Shah, Poom Kumam, Inam Ullah
doaj   +1 more source

Fractional Derivative as Fractional Power of Derivative [PDF]

, 2007
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A., Berezin F. A., Brichkov Yu. A., Caputo M., Dalechky Yu. L., Hadid S. B., Karasev M. V., Korabel N., Krasnolelsky M. A., Krasnolelsky M. A., Krein S. G., Krein S. G., Le Mehaute A., Luke Y., Maslov V. P., Momani S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +25 more
core   +1 more source

Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations

Journal of Mathematics, 2021
In this paper, we study the nonlinear coupled system of equations with fractional integral boundary conditions involving the Caputo fractional derivative of orders θ1 and θ2 and Riemann–Liouville derivative of orders ϱ1 and ϱ2 with the p-Laplacian ...
Merfat Basha, Binxiang Dai, Wadhah Al-Sadi   +2 more
doaj   +1 more source