Department of Mathematics and Statistics
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Existence of solutions for fractional Langevin equation involving generalized Caputo derivative with periodic boundary conditions
(American Institute of Physics Inc., 2020)In this article, we investigate the existence and uniqueness(EU) of solutions for nonlinear Langevin fractional differ ential equation (FDEs) in term of generalized Caputo fractional derivative(GCFD) of two distinct ... 
On new symmetry, series solution and conservation laws of nonlinear coupled Higgs field equation
(Springer, 2020)The work presents systematic investigations on invariant analysis and the analytic solution of the second order Higgs equation. On employing Lie classical approach, new symmetry and the corresponding reduction of the system ... 
A new study of unreported cases of 2019nCOV epidemic outbreaks
(Elsevier, 2020)2019nCOV epidemic is one of the greatest threat that the mortality faced since the World War2 and most decisive global health calamity of the century. In this manuscript, we study the epidemic prophecy for the novel ... 
A revisitation to reported results on optical solitons
(Elsevier, 2020)This corrigendum is to provide the generalized symmetries of equations considered in the some of recent published papers. Also, corresponding to the generalized symmetries for KunduMukherjeeNaskar equation and ... 
On stability analysis and existence of positive solutions for a general nonlinear fractional differential equations
(Springer, 2020)In this article, we deals with the existence and uniqueness of positive solutions of general nonlinear fractional differential equations (FDEs) having fractional derivative of different orders involving pLaplacian operator. ... 
Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
(Springer, 2020)In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space. We obtain the existence results by applying the ... 
Optical solitons with generalized anticubic nonlinearity by Lie symmetry
(Elsevier GmbH, 2020)Lie symmetry analysis handled the nonlinear Schrodinger's equation that is studied with generalized anticubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a brightsingular ... 
On S curvature of a homogeneous Finsler space with square metric
(World Scientific Publishing Co. Pte Ltd, 2020)The study of curvature properties of homogeneous Finsler spaces with (?,?)metrics is one of the central problems in RiemannFinsler geometry. In this paper, the existence of invariant vector fields on a homogeneous Finsler ... 
Time fractional (2+1)dimensional WuZhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2020)This paper examines the time fractional (2+1)dimensional Wu –Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ... 
Comment on "On the conservation laws and invariant analysis for timefractional coupled FitzhughNagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray
(Springer, 2020)This comment deals with '' On the conservation laws and invariant analysis for timefractional coupled FitzhughNagumo equations using Lie symmetry analysis'' by Sahoo and Ray (Eur Phys J Plus 134:83, 2019). The authors ... 
On explicit exact solutions and conservation laws for time fractional variable  coefficient coupled Burger's equations
(Elsevier B.V., 2020)In this paper, we investigate time fractional variablecoefficient coupled Burger's equations for admissible form of variable coefficients under the condition of invariance. The reduced form of systems is obtained by using ... 
Time fractional (2+1)dimensional Wu�Zhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2019)This paper examines the time fractional (2+1)dimensional Wu�Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ... 
Group classification, conservation laws and Painlev analysis for Klein–Gordon–Zakharov equations in (3 + 1)dimension
(Springer, 2019)In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a highfrequency plasma. Using the symbolic manipulation tool Maple, the classifications ... 
Homogeneous Finsler space with infinite series (?,?)metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)metric. Next, we deduce an explicit formula for the the Scurvature of homogeneous Finsler ... 
Naturally Reductive Homogeneous Space with an Invariant (?, ?)Metric
(Pleiades Publishing, 2019)In this paper, first we derive an explicit formula for the flag curvature of a homogeneous Finsler space with exponential metric. Next, we deduce it for naturally reductive homogeneous Finsler space with afore said metric. 
Dispersion analysis and improved Fexpansion method for space–time fractional differential equations
(Springer Netherlands, 2019)In this article, an improved Fexpansion method with the Riccati equation is suggested for spacetime fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ... 
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier GmbH, 2019)In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ... 
Comment on “Time fractional thirdorder variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations” by Fairouz Tchier et al.
(Springer Verlag, 2019)[No abstract available] 
Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with timedependent variable coefficients
(Springer, 2019)In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–deVries (KdV) equations, ... 
Space time fractional Drinfel'dSokolovWilson system with timedependent variable coefficients: Symmetry analysis, power series solutions and conservation laws
(Springer Verlag, 2019)In this work we aim to apply the Liesymmetry method via the RiemannLiouville fractional derivative based on continuous group of transformations to examine the symmetry reduction of space time fractional Drinfel'dSokolovWilson ...