[HTML][HTML] New general integral transform via Atangana–Baleanu derivatives

M Meddahi, H Jafari, MN Ncube - Advances in Difference Equations, 2021 - Springer
The current paper is about the investigation of a new integral transform introduced recently
by Jafari. Specifically, we explore the applicability of this integral transform on Atangana …

[HTML][HTML] Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

S Hasan, N Djeddi, M Al-Smadi, S Al-Omari… - Advances in Difference …, 2021 - Springer
This paper deals with the generalized Bagley–Torvik equation based on the concept of the
Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space …

[HTML][HTML] Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph

A Turab, ZD Mitrović, A Savić - Advances in Difference Equations, 2021 - Springer
Chemical graph theory is a field of mathematics that studies ramifications of chemical
network interactions. Using the concept of star graphs, several investigators have looked …

Existence of the positive solutions for a tripled system of fractional differential equations via integral boundary conditions

H Afshari, H Shojaat, MS Moradi - Results in Nonlinear Analysis, 2021 - dergipark.org.tr
The purpose of this paper, is studying the existence and nonexistence of positive solutions
to a class of a following tripled system of fractional differential equations.\begin …

[HTML][HTML] Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

T Rasham, G Marino, A Shahzad, C Park… - Advances in difference …, 2021 - Springer
This paper is devoted to finding out some realization of the concept of b-metric like space.
First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of …

[HTML][HTML] Ulam–Hyers–Mittag-Leffler stability for tripled system of weighted fractional operator with TIME delay

MA Almalahi, SK Panchal, F Jarad… - Advances in Difference …, 2021 - Springer
This study is aimed to investigate the sufficient conditions of the existence of unique
solutions and the Ulam–Hyers–Mittag-Leffler (UHML) stability for a tripled system of …

[HTML][HTML] Common fixed point theorems for auxiliary functions with applications in fractional differential equation

B Wongsaijai, P Charoensawan… - Advances in Difference …, 2021 - Springer
In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a
directed graph which involve auxiliary functions. The achievement allows us to obtain …

Some fixed point results of F-contraction mapping in D-metric spaces by Samet's method

H Afshari, SMALI ALEOMRANINEJAD - Journal of Mathematical …, 2021 - sabapub.com
The aim of this paper is to study the F-contraction mapping introduced by Wardowski to
obtain fixed point results by method of Samet in generalized complete metric spaces. Our …

[HTML][HTML] On a time fractional diffusion with nonlocal in time conditions

NH Tuan, NA Triet, NH Luc, ND Phuong - Advances in Difference …, 2021 - Springer
In this work, we consider a fractional diffusion equation with nonlocal integral condition. We
give a form of the mild solution under the expression of Fourier series which contains some …

[HTML][HTML] Existence and uniqueness of nonlocal boundary conditions for Hilfer–Hadamard-type fractional differential equations

AYA Salamooni, DD Pawar - Advances in Difference Equations, 2021 - Springer
In this paper, we use some fixed point theorems in Banach space for studying the existence
and uniqueness results for Hilfer–Hadamard-type fractional differential equations D α, β H x …