Browsing Matematik Bölümü by Author "Abdeljawad, Thabet"

Now showing items 1-20 of 168

A caputo fractional order boundary value problem with integral boundary conditions

Babakhani, Azizollah; Abdeljawad, Thabet (Eudoxus Press, 2013-05)

In this paper, we discuss existence and uniqueness of solutions to nonlinear fractional order ordinary differential equations with integral boundary conditions in an ordered Banach space. We use the Caputo fractional ...
A common fixed point theorem of a Gregus type on convex cone metric spaces

Abdeljawad, Thabet; Karapınar, Erdal (Eudoxus Press, 2011-05)

The result of Ciric [1] on a common fixed point theorem of Gregus-type on metric spaces is extended to the class of cone metric spaces. Namely, a common fixed point theorem is proved in s-convex cone metric spaces under ...
A common fixed point theorem of a Greguš type on convex cone metric spaces

Abdeljawad, Thabet; Karapinar, Erdal (2011)

The result of Ćirić [1] on a common fixed point theorem of Greguš type on metric spaces is extended to the class of cone metric spaces. Namely, a common fixed point theorem is proved in s-convex cone metric spaces under ...
A fite type result for sequental fractional differintial equations

Abdeljawad, Thabet; Baleanu, Dumitru; Jarad, Fahd; Mustafa, Octavian G.; Trujillo, J. J. (Dynamic Publisher, 2010-06)

Given the solution f of the sequential fractional differential equation aD(t)(alpha)(aD(t)(alpha) f) + P(t)f = 0, t is an element of [b, a], where -infinity < a < b < c < + infinity, alpha is an element of (1/2, 1) and P ...
A Frational Finite Differene Inclusion

Abdeljawad, Thabet; Karapınar,Erdal (Eudoxus Press, 2016)

In this manuscript, we investigated the fractional finite difference inclusion (formula presented) via the boundary conditions Δx(b+μ)=A and x(μ-2)=B, where 1 < μ ≤ 2, A, B ε ℝ. and (formula presented) is a compact valued ...
A Gap in the Paper A Note On Cone Metric Fixed Point Theory and Its Equivalence [Nonlinear Anal. 72(5), (2010), 2259-2261]

Abdeljawad, Thabet; Karapınar, Erdal (2011)

There is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.
A generalized contraction principle with control functions on partial metric spaces

Abdeljawad, Thabet; Karapınar, Erdal; Taş, Kenan (Pergamon-Elsevier Science Ltd, 2012-02)

Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and ...
A generalized Lyapunov-type inequality in the frame of conformable derivatives

Abdeljawad, Thabet; Alzabut, Jehad; Jarad, Fahd (Springer, 2017-10-11)

We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order alpha is an element of (1, 2]. Indeed, it is shown that if the boundary value problem (T(alpha)(c)x)(t) + r(t) x(t) ...
A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems

Abdeljawad, Thabet; Alzabut, Jehad; Baleanu, Dumitru (Springer International Publishing, 2016-09-29)

In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided. To apply the ...
A generalized q-mittag-leffler function by q-captuo fractional linear equations

Abdeljawad, Thabet; Benli, Betül; Baleanu, Dumitru (Hindawi Publishing Corporation, 2012)

Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain ...
A Gregus type common fixed point theorem of set-valued mappings in cone metric spaces

Abdeljawad, Thabet; Murthy, P. P.; Taş, Kenan (Eudoxus Press, 2011-05)

The main purpose of this paper is to obtain a common fixed point theorem for a pair of set-valued mappings of Gregus type condition in cone metric spaces, so that the main result obtained in [13] will be generalized to ...
A Gronwall inequality via the generalized proportional fractional derivative with applications

Alzabut, Jehad; Abdeljawad, Thabet; Jarad, Fahd; Sudsutad, Weerawat (Springer Open, 2019-04-11)

In this paper, we provide a new version for the Gronwall inequality in the frame of the generalized proportional fractional derivative. Prior to the main results, we introduce the generalized proportional fractional ...
A NEW NUMERICAL TREATMENT FOR FRACTIONAL DIFFERENTIAL EQUATIONS BASED ON NON-DISCRETIZATION OF DATA USING LAGUERRE POLYNOMIALS

Khan, Adnan; Shah, Kamal; Arfan, Muhammad; Abdeljawad, Thabet; Jarad, Fahd (2020-12)

In this research work, we discuss an approximation techniques for boundary value problems (BVPs) of differential equations having fractional order (FODE). We avoid the method from discretization of data by applying polynomials ...
A note on the chain rule on time scales

Abdeljawad, Thabet (Çankaya Üniversitesi, 2008-05)

It is known, in general, that the chain rule on general time scale derivatives does not behave well as in the case of usual derivative. However, we discuss some special cases where the time scale derivative has the usual ...
A pair of Köthe spaces between which all continuous linear operators are bounded

Abdeljawad, Thabet (2004-07-01)
A Semigroup-Like Property for Discrete Mittag-Leffler Functions

Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru (2012)

Discrete Mittag-Leffler function E.ᾱ (λ, z) of order 0 <α ≤ 1, E.1̄(λ, z) = (1 - λ)-z, l ≠ 1, satisfies the nabla Caputo fractional linear difference equation C∇0α x(t) = λx(t), x(0) = 1, t ∈ ℕ1 = {1, 2, 3,.. .}. Computations ...
A Singular Abc-Fractional Differential Equation With P-Laplacian Operator

Khan, Hasib; Jarad, Fahd; Abdeljawad, Thabet; Khan, A. (Elsevier LTD., 2019-12)

In this article, we have focused on the existence and uniqueness of solutions and Hyers–Ulam stability for ABC-fractional DEs with p-Laplacian operator involving spatial singularity. The existence and uniqueness of solutions ...
A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; Kılın., Gülşen (2020-07-10)

This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for ...
Almost periodic dynamics of a discrete Nicholson's blowflies model involving a linear harvesting term

Alzabut, Jehad; Bolat, Yaşar; Abdeljawad, Thabet (Springer International Publishing, 2012)

We consider a discrete Nicholson's blowflies model involving a linear harvesting term. Under appropriate assumptions, sufficient conditions are established for the existence and exponential convergence of positive almost ...
Alpha fractional frequency Laplace transform through multiseries

Murugesan, Meganathan; Abdeljawad, Thabet; Gnanaprakasam, Britto Antony Xavier; Jarad, Fahd (2020-05-24)

Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions ...

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