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APPARENT INTEGRALS MOUNTED WITH THE BESSEL-STRUVE KERNEL FUNCTION

  • Khan, N.U.;Khan, S.W.
    • Honam Mathematical Journal
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    • v.41 no.1
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    • pp.163-174
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    • 2019
  • The veritable pursuit of this exegesis is to exhibit integrals affined with the Bessel-Struve kernel function, which are explicitly inscribed in terms of generalized (Wright) hypergeometric function and also the product of generalized (Wright) hypergeometric function with sum of two confluent hypergeometric functions. Somewhat integrals involving exponential functions, modified Bessel functions and Struve functions of order zero and one are also obtained as special cases of our chief results.

APPROXIMATION OF FIXED POINTS AND THE SOLUTION OF A NONLINEAR INTEGRAL EQUATION

  • Ali, Faeem;Ali, Javid;Rodriguez-Lopez, Rosana
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.869-885
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    • 2021
  • In this article, we define Picard's three-step iteration process for the approximation of fixed points of Zamfirescu operators in an arbitrary Banach space. We prove a convergence result for Zamfirescu operator using the proposed iteration process. Further, we prove that Picard's three-step iteration process is almost T-stable and converges faster than all the known and leading iteration processes. To support our results, we furnish an illustrative numerical example. Finally, we apply the proposed iteration process to approximate the solution of a mixed Volterra-Fredholm functional nonlinear integral equation.

FINITE INTEGRALS ASSOCIATED WITH THE PRODUCT OF ORTHOGONAL POLYNOMIALS AND WRIGHT FUNCTION

  • Khan, Nabiullah;Khan, Mohammad Iqbal;Khan, Owais
    • Honam Mathematical Journal
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    • v.43 no.4
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    • pp.597-612
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    • 2021
  • Several useful and interesting extensions of the various special functions have been introduced by many authors during the last few decades. Various integral formulas associated with Wright function have been studied and a noteworthy amount of work have found in literature. The principal object of the present paper is to evaluate finite integral formulas containing the product of orthogonal polynomials with generalized Wright function. These integral formulas are expressed in terms of Srivastava and Daoust function. Some interesting particular cases are obtained from the main results by specialising the suitable values of the parameters involved.

COMMUTATIVITY OF MULTIPLICATIVE b-GENERALIZED DERIVATIONS OF PRIME RINGS

  • Muzibur Rahman Mozumder;Wasim Ahmed;Mohd Arif Raza;Adnan Abbasi
    • Korean Journal of Mathematics
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    • v.31 no.1
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    • pp.95-107
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    • 2023
  • Consider ℛ to be an associative prime ring and 𝒦 to be a nonzero dense ideal of ℛ. A mapping (need not be additive) ℱ : ℛ → 𝒬mr associated with derivation d : ℛ → ℛ is called a multiplicative b-generalized derivation if ℱ(αδ) = ℱ(α)δ +bαd(δ) holds for all α, δ ∈ ℛ and for any fixed (0 ≠)b ∈ 𝒬s ⊆ 𝒬mr. In this manuscript, we study the commutativity of prime rings when the map b-generalized derivation satisfies the strong commutativity preserving condition and moreover, we investigate the commutativity of prime rings that admit multiplicative b-generalized derivation, which improves many results in the literature.

A STUDY OF DIFFERENTIAL IDENTITIES ON 𝜎-PRIME RINGS

  • Adnan Abbasi;Md. Arshad Madni;Muzibur Rahman Mozumder
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.679-693
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    • 2023
  • Let 𝓡 be a 𝜎-prime ring with involution 𝜎. The main objective of this paper is to describe the structure of the 𝜎-prime ring 𝓡 with involution 𝜎 satisfying certain differential identities involving three derivations 𝜓1, 𝜓2 and 𝜓3 such that 𝜓1[t1, 𝜎(t1)] + [𝜓2(t1), 𝜓2(𝜎(t1))] + [𝜓3(t1), 𝜎(t1)] ∈ 𝒥Z for all t1 ∈ 𝓡. Further, some other related results have also been discussed.

Multiclass Botnet Detection and Countermeasures Selection

  • Farhan Tariq;Shamim baig
    • International Journal of Computer Science & Network Security
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    • v.24 no.5
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    • pp.205-211
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    • 2024
  • The increasing number of botnet attacks incorporating new evasion techniques making it infeasible to completely secure complex computer network system. The botnet infections are likely to be happen, the timely detection and response to these infections helps to stop attackers before any damage is done. The current practice in traditional IP networks require manual intervention to response to any detected malicious infection. This manual response process is more probable to delay and increase the risk of damage. To automate this manual process, this paper proposes to automatically select relevant countermeasures for detected botnet infection. The propose approach uses the concept of flow trace to detect botnet behavior patterns from current and historical network activity. The approach uses the multiclass machine learning based approach to detect and classify the botnet activity into IRC, HTTP, and P2P botnet. This classification helps to calculate the risk score of the detected botnet infection. The relevant countermeasures selected from available pool based on risk score of detected infection.

Effect of shear zone on dynamic behaviour of rock tunnel constructed in highly weathered granite

  • Zaid, Mohammad;Sadique, Md. Rehan;Alam, M. Masroor;Samanta, Manojit
    • Geomechanics and Engineering
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    • v.23 no.3
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    • pp.245-259
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    • 2020
  • Tunnels have become an indispensable part of metro cities. Blast resistance design of tunnel has attracted the attention of researchers due to numerous implosion event. Present paper deals with the non-linear finite element analysis of rock tunnel having shear zone subjected to internal blast loading. Abaqus Explicit schemes in finite element has been used for the simulation of internal blast event. Structural discontinuity i.e., shear zone has been assumed passing the tunnel cross-section in the vertical direction and consist of Highly Weathered Granite medium surrounding the tunnel. Mohr-Coulomb constitutive material model has been considered for modelling the Highly Weathered Granite and the shear zone material. Concrete Damage Plasticity (CDP), Johnson-Cook (J-C), Jones-Wilkins-Lee (JWL) equation of state models are used for concrete, steel reinforcement and Trinitrotoluene (TNT) simulation respectively. The Coupled-Eulerian-Lagrangian (CEL) method of modelling for TNT explosive and air inside the tunnel has been adopted in this study. The CEL method incorporates the large deformations for which the traditional finite element analysis cannot be used. Shear zone orientations of 0°, 15°, 30°, 45°, 60°, 75° and 90°, with respect to the tunnel axis are considered to see their effect. It has been concluded that 60° orientation of shear zone presents the most critical situation.

Modified T-Plate Interpositional Arthroplasty for Temporomandibular Joint Ankylosis: A New and Versatile Option

  • Ahmad, Imran;Mir, Mohd Altaf;Bariar, Lalit Mohan
    • Archives of Plastic Surgery
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    • v.42 no.6
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    • pp.716-720
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    • 2015
  • Background This study has been conducted with the aim of evaluating modified T-plate interpositional arthroplasty. Methods A prospective comparative study in patients admitted with temporomandibular joint ankylosis. Ankylotic temporomandibular joint arthroplasty included condylectomy gap arthroplasty in 7, temporalis muscle flap interpositional arthroplasty in 8, and modified T-plate interpositional arthroplasty in 13 cases. The patients were followed for three years. Collected data were tabulated and subjected to Fisher's exact test, chi-square test and probability estimation. Results A significant increase in interincisal distance of 32 mm was seen in 12 (92.31%) patients in the T-plate interposition group, in 2 (25%) cases of the temporalis muscle flap interposition group, and in 1 case (14.28%) of the condylectomy group at 12, 24, and 36 months. Re-ankylosis was observed in 1 case (9.69%) of the T-plate interposition group, while as it was observed in 4 (50%) cases in the temporalis muscle flap interposition group and 4 (57.14%) cases in the condylectomy group, and these differences were statistically significant. Conclusions Our clinical experience with the use of the T-plate over the past 5 years has been encouraging, and our physiotherapy technique is quite simple. Even illiterate parents can assess it easily. Hence, we recommend this easy technique that does not damage the temporalis muscle for the management of temporomandibular joint ankylosis.

Economics During Global Recession: Sharia-Economics as a Post COVID-19 Agenda

  • ARFAH, Aryati;OLILINGO, Fahruddin Zain;SYAIFUDDIN, S.;DAHLIAH, D.;NURMIATI, N.;PUTRA, Aditya Halim Perdana Kusuma
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.11
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    • pp.1077-1085
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    • 2020
  • This research is a literacy study regarding the implementation and management of the economic role of haria as a new strategy in overcoming the problem of the global financial crisis that has hit the middle of the COVID-19 pandemic. The research method comes from previous studies to compare the capitalist, socialist, and sharia economic systems. In response to various economic uncertainties, both internal and external, the ability to seize opportunities and transform has become the key to economic resilience. Islamic economics can be an alternative in responding to the dynamics of the global and national economy. Several things need to be taken into consideration in fulfilling the sharia economy and the primary strategy chosen must come from the inputs given by the stakeholders, including business actors, associations, regulators as well as experts, and academicians. The primary strategy in implementing the sharia economy also requires the support of various parties in order to develop sustainability. Strengthening regulation and governance is one of the fundamental factors. Optimization of the sharia economy based social sector such as Zakat, Infaq, Sadaqah, and Waqaf can be optimized both for collection and distribution so that the concept of sharing can certainly support the development and the economy both nationally and globally.