Browsing Matematik Bölümü by Author "Khan, Hasib"

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A fixed point theorem on multiplicative metric space with integral-type inequality

Khan, Aziz; Khan, Hasib; Baleanu, Dumitru; Jafari, Hossein; Khan, Tahir Saeed; Alqurashi, Maysaa (Journal Mathematics & Computer Science-Jmcs, 2018)

In this paper, we prove fixed point theorems (FPTs) on multiplicative metric space (MMS) (X, triangle) by the help of integral-type contractions of self-quadruple mappings (SQMs), i.e., for p(1), p(2), p(3), p(4) : X -> ...
A Modification Fractional Variational Iteration Method For Solving Non-Linear Gas Dynamic and Coupled Kdv Equations Involving Local Fractional Operators

Baleanu, Dumitru; Jassim, Hassan Kamil; Khan, Hasib (Vinca Inst Nuclear Sci, 2018)

In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate ...
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 ...
Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law

Francisco Gomez-Aguilar, Jose; Guadalupe Lopez-Lopez, Maria; Manuel Alvarado-Martinez, Victor; Baleanu, Dumitru; Khan, Hasib (MDPI, 2017-12)

In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense. Special solutions using an iterative ...
Derivation of dynamical integral inequalities based on two-dimensional time scales theory

Khan, Zareen A.; Jarad, Fahd; Khan, Aziz; Khan, Hasib (2020-08-12)

The main goal of this paper is to set up some new estimates of a specific class of dynamic integral inequalities (DII) which are partially linear on a time scale T with two independent variables. These, from the one hand, ...
Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system

Khan, Hasib; Khan, Aziz; Jarad, Fahd; Shah, Anwar (2020-02)

The study of existence of solution ensures the essential conditions required for a solution. Keeping the importance of the study, we initiate the existence, uniqueness and data dependence of solutions an Atangana-Baleanu-Caputo ...
Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz (Springer International Publishing, 2015-09-17)

The existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary value problems (FOBVPs) ...
Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application

Khan, Hasib; Alzabut, Jehad; Baleanu, Dumitru; Alobaidi, Ghada; Rehman, Mutti-Ur (2023)

In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical ...
Existence results for a general class of sequential hybrid fractional differential equations

Khan, Rahmat Ali; Gul, Shaista; Jarad, Fahd; Khan, Hasib (2021-12)

In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary ...
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz (Springer, 2017-10-30)

In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian operator. For this purpose, the suggested ...
Inequalities for n-class of functions using the Saigo fractional integral operator

Khan, Hasib; Tunç, Cemil; Baleanu, Dumitru; Khan, Aziz; Alkhazzan, Abdulwasea (Springer Verlag Italia SRL, 2019-07)

The role of fractional integral operators can be found as one of the best ways to generalize the classical inequalities. In this paper, we use the Saigo fractional integral operator to produce some inequalities for a class ...
Modified Variational Iteration Method For Straight Fins With Temperature Dependent Thermal Conductivity

İnç, Mustafa; Khan, Hasib; Baleanu, Dumitru; Khan, Aziz (Vinca Inst Nuclear Sci, 2018)

The modified variational iteration method (MVIM) has been used to calculate the efficiency of straight fins with temperature dependent thermal conductivity. The obtained results are compared with homotopy analysis method ...
New Method For Investigating the Density-Dependent Diffusion Nagumo Equation

Akgül, Ali; Hashemi, Mir Sajjad; İnç, Mustafa; Khan, Hasib; Baleanu, Dumitru (Vinca Inst Nuclear Sci, 2018)

We apply reproducing kernel method to the density-dependent diffusion Nagumo equation. Powerful method has been applied by reproducing kernel functions. The approximations to the exact solution are obtained. In particular, ...
Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications

Khan, Zareen A.; Jarad, Fahd; Khan, Aziz; Khan, Hasib (2021-12)

By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type ...
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions

Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen (Springer International Publishing, 2015-10-15)

We investigate sufficient conditions for existence and uniqueness of solutions for a coupled system of fractional order hybrid differential equations (HDEs) with multi-point hybrid boundary conditions given by D-omeg ...
On Iterative Solutions and Error Estimations of a Coupled System of Fractional Order Differential-Integral Equations with Initial and Boundary Conditions

Khan, Hasib; Jafari, Hossein; Baleanu, Dumitru; Khan, Rahmat Ali; Khan, Aziz (2020-10-01)

The study of boundary value problems (BVPs) for fractional differential–integral equations (FDIEs) is extremely popular in the scientific community. Scientists are utilizing BVPs for FDIEs in day life problems by the help ...
On the exact solution of wave equations on cantor sets

Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali (MDPI AG, 2015-09)

The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry ...
On the existence of solution for fractional differential equations of order 3 < delta(1) <= 4

Baleanu, Dumitru; Agarwal, Ravi P.; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein (Springer International Publishing, 2015-11-26)

In this paper, we deal with a fractional differential equation of order delta(1) is an element of (3,4] with initial and boundary conditions, D-delta 1 psi(x) = -H(x,psi(x)), D-alpha 1 psi(1) = 0 = I3-delta 1 psi(0) = ...
On the existence of solution for fractional differential equations of order 3< δ1≤4

Baleanu, Dumitru; Agarwal, Ravi P; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein (2015-12-01)

In this paper, we deal with a fractional differential equation of order δ1∈(3,4] with initial and boundary conditions, (Formula Presented), addressing the existence of a positive solution (EPS), where the fractional ...
Results for Mild solution of fractional coupled hybrid boundary value problems

Baleanu, Dumitru; Jafari, Hossein; Khan, Hasib; Johnston, Sarah Jane (Sciendo, 2015-09-25)

The study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and ...

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Browsing Matematik Bölümü by Author "Khan, Hasib"

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