Jarad, Fahd

Jarad, Fahd

Job Title

Prof. Dr.

Email Address

fahd@cankaya.edu.tr

Main Affiliation

Matematik

Status

Current Staff

ORCID ID

0000-0002-3303-0623

Files

00378.jpeg (774.46 KB)

Full item page

Sustainable Development Goals Report Points

SDG data could not be loaded because of an error. Please refresh the page or try again later.

Scholarly Output

378

Articles

718

Citation Count

8562

Supervised Theses

0 Scholarly Output Search Results

Now showing 1 - 10 of 376

Citation - WoS: 5
Citation - Scopus: 6
Application of sumudu and double sumudu transforms to caputo-fractional differential equations
(Eudoxus Press, Llc, 2012) Jarad, Fahd; Jarad, Fahd; Tas, K.; Taş, Kenan; 4971; Matematik
The definition, properties and applications of the Sumudu transform to ordinary differential equations are described in [1-3]. In this manuscript we derive the formulae for the Sumudu and double Sumudu transforms of ordinary and partial fractional derivatives and apply them in solving Caputo-fractional differential equations. Our purpose here is to show the applicability of this new transform and its efficiency in solving such problems.
Citation - WoS: 3
Citation - Scopus: 2
Solving a Fredholm integral equation via coupled fixed point on bicomplex partial metric space
(Amer inst Mathematical Sciences-aims, 2022) Mani, Gunaseelan; Jarad, Fahd; Gnanaprakasam, Arul Joseph; Javed, Khalil; Arshad, Muhammad; Jarad, Fahd; 234808; Matematik
In this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.
Citation - WoS: 45
Citation - Scopus: 47
Fractional Proportional Differences With Memory
(Springer Heidelberg, 2017) Abdeljawad, Thabet; Abdeljawad, Thabet; Jarad, Fahd; Jarad, Fahd; Alzabut, Jehad; Alzabut, Jehad; 234808; Matematik
In this paper, we formulate nabla fractional sums and differences and the discrete Laplace transform on the time scale hZ. Based on a local type h-proportional difference (without memory), we generate new types of fractional sums and differences with memory in two parameters which are generalizations to the formulated fractional sums and differences. The kernel of the newly defined generalized fractional sum and difference operators contain h-discrete exponential functions. The discrete h-Laplace transform and its convolution theorem are then used to study the newly introduced discrete fractional operators and also used to solve Cauchy linear fractional difference type problems with step 0 < h <= 1.
Citation - WoS: 16
Citation - Scopus: 21
New numerical dynamics of the heroin epidemic model using a fractional derivative with Mittag-Leffler kernel and consequences for control mechanisms
(Elsevier, 2022) Rashid, Saima; Jarad, Fahd; Jarad, Fahd; Ahmad, Abdulaziz Garba; Abualnaja, Khadijah M.; 234808; Matematik
Intravenous substance consumption is on the upswing all over the globe, especially in Europe and Asia. It is extremely harmful to society; excessive substance consumption is the leading cause of death. Beyond all prohibited narcotics, heroin is a narcotic that has a substantial negative impact on society and the world at large. In this paper, a heroin epidemic model is developed via an Atangana-Baleanu fractional-order derivative in the Caputo sense describe accurately real world problems, equipped with recovery and persistent immunity. Meanwhile, we have established a globally asymptotically stable equilibrium for both the drug-free and drug-addiction equilibriums. Additionally, we apply a novel scheme that is mingled with the two-step Lagrange polynomial and the basic principle of fractional calculus. The simulation results for various fractional values indicate that as the fractional order decreases from 1, the growth of the epidemic diminishes. The modelling data demonstrates that the suggested containment technique is effective in minimizing the incidence of instances in various categories. Furthermore, modelling the ideal configuration indicated that lowering the fractional-order from 1 necessitates a swift commencement of the implementation of the suggested regulatory technique at the maximum rate and sustaining it throughout a significant proportion of the pandemic time frame.
Citation - WoS: 11
Citation - Scopus: 12
Impact of Ramped Concentration and Temperature on MHD Casson Nanofluid Flow through a Vertical Channel
(Hindawi Ltd, 2021) Sadiq, Kashif; Jarad, Fahd; Siddique, Imran; Ali, Rifaqat; Jarad, Fahd; 234808; Matematik
The mass and heat transport of Casson nanofluid flow in a channel under the influence of the magnetic field, heat generation, chemical reaction, ramped concentration, and ramped temperature is studied. Nanoparticles of copper (Cu) are inserted in sodium alginate (SA) to make nanofluid. The definition of time-fractional Caputo derivative is applied to have the fractional model. The analytical results of concentration, temperature, velocity, skin friction, Sherwood numbers, and Nusselt numbers for ramped and isothermal boundary conditions are obtained in the form of summation after applying the Laplace inverse transform. The effects of the fractional parameter (xi) and physical parameters are depicted graphically. For higher values of xi the velocity, concentration and temperature reduce. The fractional model is a better choice to control velocity, concentration, and temperature profiles. The energy enhances by increasing volume fraction (phi), whereas mass and flow of nanofluid reduce. The Sherwood and Nusselt numbers for both isothermal and ramped conditions increase by increasing phi. Ramped conditions can control the flow, mass, and heat of the nanofluid.
Citation - WoS: 6
Citation - Scopus: 6
Cosine and cotangent similarity measures for intuitionistic fuzzy hypersoft sets with application in MADM problem
(Cell Press, 2024) Jafar, Muhammad Naveed; Jarad, Fahd; Saeed, Muhammad; Saeed, Ayesha; Ijaz, Aleen; Ashraf, Mobeen; Jarad, Fahd; 234808; Matematik
Intuitionistic fuzzy hypersoft sets (IFHSSs) are a novel model that is projected to address the limitations of Intuitionistic fuzzy soft sets (IFSSs) regarding the entitlement of a multi-argument domain for the approximation of parameters under consideration. It is more flexible and reliable as it considers the further classification of parameters into their relevant parametric valued sets. In this paper, we proposed some trigonometric (cosine and cotangent) similarity measures and their weighted trigonometric similarity measures (SMs). Trigonometric Similarity measures (SMs) for intuitionistic fuzzy hypersoft sets (IFHSSs) are significantly implied to check the similarity measures and help to determine the similarity between different factors. Also, in order to evaluate the validity of the significant study and apply the results to a daily life problem. We use them to solve problems involving the selection of renewable energy sources. According to several technical contributing factors, the analysis identifies the ideal location for the implementation of the energy production units. Future case studies with many features and additional bifurcation along with multiple decision-makers can use the suggested methodologies. Also, several existing structures, such as fuzzy, Pythagorean fuzzy, Neutrosophic theories, etc., can be utilized with the suggested method.
Citation - WoS: 10
Citation - Scopus: 10
Ulam–Hyers–Mittag-Leffler stability for tripled system of weighted fractional operator with TIME delay
(Springer, 2021) Jarad, Fahd; Almalahi, Mohammed A.; Panchal, Satish K.; Abdeljawad, Thabet; Jarad, Fahd; Abdeljawad, Thabet; 234808; Matematik
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 weighted generalized Caputo fractional derivatives investigated by Jarad et al. (Fractals 28:2040011 2020) in the frame of Chebyshev and Bielecki norms with time delay. The acquired results are obtained by using Banach fixed point theorems and the Picard operator (PO) method. Finally, a pertinent example of the results obtained is demonstrated.
Citation - WoS: 21
Citation - Scopus: 25
Multicriteria Decision-Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets
(Hindawi Ltd, 2021) Siddique, Imran; Jarad, Fahd; Zulqarnain, Rana Muhammad; Ali, Rifaqat; Jarad, Fahd; Iampan, Aiyared; 234808; Matematik
The Pythagorean fuzzy hypersoft set (PFHSS) is the most advanced extension of the intuitionistic fuzzy hypersoft set (IFHSS) and a suitable extension of the Pythagorean fuzzy soft set. In it, we discuss the parameterized family that contracts with the multi-subattributes of the parameters. The PFHSS is used to correctly assess insufficiencies, anxiety, and hesitancy in decision-making (DM). It is the most substantial notion for relating fuzzy data in the DM procedure, which can accommodate more uncertainty compared to available techniques considering membership and nonmembership values of each subattribute of given parameters. In this paper, we will present the operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and also some fundamental properties such as idempotency, boundedness, shift-invariance, and homogeneity for Pythagorean fuzzy hypersoft weighted average (PFHSWA) and Pythagorean fuzzy hypersoft weighted geometric (PFHSWG) operators. Furthermore, a novel multicriteria decision-making (MCDM) approach has been established utilizing presented aggregation operators (AOs) to resolve decision-making complications. To validate the useability and pragmatism of the settled technique, a brief comparative analysis has been conducted with some existing approaches.
Citation - WoS: 17
Citation - Scopus: 17
Profit and efficiency enhancement of a cylindrical solar collector by structural modification of helical tube
(Elsevier, 2022) Luo, Jie; Jarad, Fahd; Mansir, Ibrahim B.; Sharma, Kamal; Mahariq, Ibrahim; Jarad, Fahd; Youshanlouei, Mohammad Mehdizadeh; Reda, Shaker A.; 234808; Matematik
Cylindrical solar collectors (CSCs) are getting attraction. Heat extraction part of these instruments consists of a helical tube which transfers thermal energy to working fluid. Enhancement of the heat transfer process within this part leads to enhancement of energy achievement. In this paper, influence of applying helical corrugation on helical absorber was evaluated. The number of corrugations and pitch and height of corrugations were considered as variant parameters. The system was evaluated from different viewpoints and performance of system was analyzed based on performance factor and economic viewpoints. The results revealed that the presence of helical Corrugation could increase heat transfer up to 19%. It was found that Dean number of 3000 could be considered as a critical Dean number from view point of performance factor. The application of the proposed system was more beneficial at Dean numbers below 3000. It was revealed that the application of helical corrugation could provide up to 24% enhancement in economic advantage of the system. Best economic performance was related to case with four starts which had corrugation height and corrugation pitch of 0.002 m and 0.103 m and occurred at Dean number of 2000.
Citation - WoS: 19
Citation - Scopus: 24
A hybrid analytical technique for solving nonlinear fractional order PDEs of power law kernel: Application to KdV and Fornberg-Witham equations
(Amer inst Mathematical Sciences-aims, 2022) Ahmad, Shabir; Jarad, Fahd; Ullah, Aman; Akgul, Ali; Jarad, Fahd; 234808; Matematik
It is important to deal with the exact solution of nonlinear PDEs of non-integer orders. Integral transforms play a vital role in solving differential equations of integer and fractional orders. 'o obtain analytical solutions to integer and fractional-order DEs, a few transforms, such as Laplace transforms, Sumudu transforms, and Elzaki transforms, have been widely used by researchers. We propose the Yang transform homotopy perturbation (YTHP) technique in this paper. We present the relation of Yang transform (YT) with the Laplace transform. We find a formula for the YT of fractional derivative in Caputo sense. We deduce a procedure for computing the solution of fractional-order nonlinear PDEs involving the power-law kernel. We show the convergence and error estimate of the suggested method. We give some examples to illustrate the novel method. We provide a comparison between the approximate solution and exact solution through tables and graphs.