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K. Munusamy C. Ravichandran Kottakkaran Sooppy Nisar Behzad Ghanbari 《Mathematical Methods in the Applied Sciences》2020,43(17):10319-10331
In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii-Krasnosel'skii type of fixed point theorem and to show the usefulness and the applicability of our results to a broad class of functional integrodifferential equations, an example is given to illustrate the theory. 相似文献
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The objective of this note is to provide some(potentially useful) integral transforms(for example, Euler, Laplace, Whittaker etc.) associated with the generalized k-Bessel function defined by Saiful and Nisar [3]. We have also discussed some other transforms as special cases of our main results. 相似文献
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Sarangal Himali Thapar Simrandeep Singh Nisar Kottakkaran Sooppy Singh Manjit Malhotra Jyoteesh 《Optical and Quantum Electronics》2021,53(10):1-14
Optical and Quantum Electronics - A D-shape elliptical stoma photonic crystal fiber (PCF) based on surface plasmon resonance is proposed and investigated with finite element method. The gold film... 相似文献
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Faisal Shahzad Wasim Jamshed Tanveer Sajid Kottakkaran Sooppy Nisar Mohamed R Eid 《理论物理通讯》2021,73(7):75004
The flow of a magnetite-H_2O nanofluid has been considered among two rotating surfaces,assuming porosity in the upper plate. Furthermore, the lower surface is considered to move with variable speed to induce the forced convection. Centripetal as well as Coriolis forces impacting on the rotating fluid are likewise taken into account. Adequate conversions are employed for the transformation of the governing partial-differential equations into a group of non-dimensional ordinary-differential formulas. Numerical solution of the converted expressions is gained by means of the shooting technique. It is theoretically found that the nanofluid has less skin friction and advanced heat transport rate when compared with the base fluid. The effect of rotation causes the drag force to elevate and reduces the heat transport rate. Streamlines are portrayed to reveal the impact of injection/suction. 相似文献
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Sunil Kumar Kottakkaran Sooppy Nisar Ranbir Kumar Carlo Cattani Bessem Samet 《Mathematical Methods in the Applied Sciences》2020,43(7):4460-4471
This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels. Two new fractional derivatives, namely Yang-Gao-Tenreiro Machado-Baleanu and Yang-Abdel-Aty-Cattani based on the nonsingular kernels of normalized sinc function and Rabotnov fractional-exponential function are discussed. Further, we presented some interesting and new properties of both proposed fractional derivatives with some integral transform. The coupling of homotopy perturbation and Laplace transform method is implemented to find the analytical solution of the new Yang-Abdel-Aty-Cattani fractional diffusion equation which converges to the exact solution in term of Prabhaker function. The obtained results in this work are more accurate and proposed that the new Yang-Abdel-Aty-Cattani fractional derivative is an efficient tool for finding the solutions of other nonlinear problems arising in science and engineering. 相似文献
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