Results 31 to 40 of about 697,977 (380)

On the Ulam‐Hyers stabilities of the solutions of Ψ‐Hilfer fractional differential equation with abstract Volterra operator [PDF]

Mathematical methods in the applied sciences, 2018
In this paper, we consider the new class of the fractional differential equation involving the abstract Volterra operator in the Banach space and investigate existence, uniqueness and stabilities of Ulam‐Hyers on the compact interval Δ = [a,b] and on the
J. Sousa, Kishor D. Kucche, E. Capelas de Oliveira   +2 more
semanticscholar   +1 more source

Fractional Euler numbers and generalized proportional fractional logistic differential equation

Fractional Calculus and Applied Analysis, 2022
We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler polynomials and Euler numbers as well ...
J. Nieto
semanticscholar   +1 more source

Fractional and Time-Scales Differential Equations [PDF]

Abstract and Applied Analysis, 2014
Resumo indisponível.
Baleanu, Dumitru, Bhrawy, Ali H., Torres, Delfim F. M., Salahshour, Soheil   +3 more
openaire   +4 more sources

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Abstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

The double auxiliary equations method and its application to space-time fractional nonlinear equations

Journal of Ocean Engineering and Science, 2019
This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
doaj   +1 more source

Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b-Metric Space

Symmetry, 2019
The present paper aims to define three new notions: Θ e -contraction, a Hardy–Rogers-type Θ -contraction, and an interpolative Θ -contraction in the framework of extended b-metric space.
T. Abdeljawad, R. Agarwal, E. Karapınar, P. Kumari   +3 more
semanticscholar   +1 more source

Existence of fractional differential equations

Journal of Mathematical Analysis and Applications, 2005
The authors obtain a sufficient condition for the existence of a solution to a fractional order differential equation. They claim that their result improves previously known results.
Cheng Yu, Guozhu Gao
openaire   +2 more sources

Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]

, 2019
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
core   +2 more sources

A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method

Advances in Mathematical Physics, 2019
The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
Ali Demir, Mine Aylin Bayrak, Ebru Ozbilge   +2 more
doaj   +1 more source

Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method

Results in Physics, 2017
This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi, Syed Tauseef Mohyud-Din, Rahmat Ullah, Naveed Ahmed, Umar Khan   +4 more
doaj   +1 more source