TY - JOUR AU - Saif, Mohd AU - Khan, Faisal AU - Nisar, Kottakkaran Sooppy AU - Araci, Serkan PY - 2020 TI - Modified Laplace transform and its properties JO - Journal of Mathematics and Computer Science SP - 127--135 VL - 21 IS - 2 AB - In this paper we propose a new definition of the modified Laplace transform \(\mathcal{L}_{a}(f(t))\) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for \(a=e\) where \(a\neq1\) and \(a>0.\) Also we prove some basic results of this modified Laplace transform and connection with different functions. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.021.02.04 DO - 10.22436/jmcs.021.02.04 ID - Saif2020 ER - TY - JOUR TI - Oscillatory and Periodic Solutions of Differential Equations with Piecewise Constant Generalized Mixed Arguments AU - K.-S. Chiu AU - T. X. Li JO - Math. Nachr. PY - 2019 DA - 2019// VL - 2019 ID - Chiu2019 ER - TY - JOUR TI - On the $q$-analog of the Laplace transform AU - W. S. Chung AU - T. Kim AU - H. I. Kwon JO - Russ. J. Math. Phys. PY - 2014 DA - 2014// VL - 21 ID - Chung2014 ER - TY - BOOK TI - Integral Transform and Their Application AU - L. Debnath AU - D. Bhatta PB - CRC Press PY - 2015 DA - 2015// CY - Boca Raton ID - Debnath2015 ER - TY - JOUR TI - On a new integral transform and differential equation AU - A. Kilicman AU - H. Eltayeb JO - Math. Prob. Eng. PY - 2010 DA - 2010// VL - 2010 ID - Kilicman2010 ER - TY - JOUR TI - On the application of Laplace and Sumudo transforms AU - A. Kilicman AU - H. E. Gadian JO - J. Franklin Inst. PY - 2010 DA - 2010// VL - 347 ID - Kilicman2010 ER - TY - JOUR TI - Degenerate Laplace Transform and Degenerate Gamma Function AU - T. Kim AU - D. S. Kim JO - Russ. J. Math. Phys. PY - 2017 DA - 2017// VL - 24 ID - Kim2017 ER - TY - JOUR TI - A Note on Modified Degenerate Gamma and Laplace Transformation AU - Y. J. Kim AU - B. M. Kim AU - L. C. Jang AU - J. Kwon JO - Symmetry PY - 2018 DA - 2018// VL - 10 ID - Kim2018 ER - TY - JOUR TI - A Laplace transform method for the image in-painting AU - N. Kokulan AU - C. H. Lai JO - J. Algorithms Comput. Technol. PY - 2015 DA - 2015// VL - 9 ID - Kokulan2015 ER - TY - JOUR TI - Application of a modified discrete Laplace transform to finding processes in certain hyperbolic systems with distributed parameters (Russian) AU - G. V. Nozhak AU - A. A. Paskar JO - Mathematical methods in mechanics. Mat. Issled. PY - 1980 DA - 1980// VL - 57 ID - Nozhak1980 ER - TY - JOUR TI - Sparse Bayesian learning for the Laplace transform inversion in dynamic light scattering AU - S. L. Nyeo AU - R. R. Ansari JO - J. Comput. Appl. Math. PY - 2011 DA - 2011// VL - 235 ID - Nyeo2011 ER - TY - JOUR TI - On certain possibilities of solution of a system of telegraph equations by means of the Laplace transform in the case of a composite conductor (Russian) AU - E. J. Riekstyn's JO - Latvijas Valsts Univ. Zinatn. Raksti PY - 1956 DA - 1956// VL - 8 ID - Riekstyn's1956 ER - TY - BOOK TI - Fourier Transform AU - I. N. Sneddon PB - McGraw-Hill Book Co. PY - 1951 DA - 1951// CY - New York ID - Sneddon1951 ER - TY - JOUR TI - Close connections between the methods of Laplace transform, quantum canonical transform, and supersymmetry shape-invariant potentials in solving Schrödinger equations AU - G.-H. Tsaur AU - J. Wang JO - Chinese J. Phys. PY - 2015 DA - 2015// VL - 53 ID - Tsaur2015 ER - TY - JOUR TI - Axial and polar gravitational wave equations in a de Sitter expanding universe by Laplace transform AU - S. Viaggiu JO - Classical Quantum Gravity PY - 2017 DA - 2017// VL - 34 ID - Viaggiu2017 ER -