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Dynamic and electrical responses of a curved sandwich beam with glass reinforced laminate layers and a pliable core in the presence of a piezoelectric layer under low-velocity impact
The dynamic responses and generated voltage in a curved sandwich beam with glass reinforced laminate (GRL) layers and a pliable core in the presence...
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Flexural-wave-generation using a phononic crystal with a piezoelectric defect
This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of...
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On the Integrability of the Abel and of the Extended Liénard Equations
We present some exact integrability cases of the extended Liénard equation y ″ + f ( y )( y ′) n + k ( y )( y ′) m + g ( y ) y ′ + h ( y ) = 0, with n > 0 and m > 0...
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The Maillet–Malgrange type theorem for generalized power series
There is proposed the Maillet–Malgrange type theorem for a generalized power series (having complex power exponents) formally satisfying an algebraic...
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Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case
This paper concerns with the study of the stability of one equilibrium solution of an autonomous analytic Hamiltonian system in a neighborhood of the...
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Nonlocal buckling of embedded magnetoelectroelastic sandwich nanoplate using refined zigzag theory
This paper is concerned with a buckling analysis of an embedded nanoplate integrated with magnetoelectroelastic (MEE) layers based on a nonlocal...
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Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity
The heat transfer of a magnetohydrodynamics nanofluid inside an annu-lus considering the second-order slip condition and nanoparticle migration is...
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On the integrability conditions for a family of Liénard-type equations
We study a family of Liénard-type equations. Such equations are used for the description of various processes in physics, mechanics and biology and...
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The Chronicles of Fractional Calculus
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the...
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Modal Logic
Let us start byLogicmodal al-Fārābī’s classification of the modal propositions.
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Physical and Geometrical Interpretation of Grünwald-Letnikov Differintegrals: Measurement of Path and Acceleration
A function f ( t ) of the independent variable t changing with every increment dt can be formulated as a functional sequence. If g ( f ( t )) is a derivative...
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A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems
We present a numerical algorithm for solving nonlinear fractional boundary value problems of order n, n N . The Bernstein polynomials (BPs) are...
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Small divisors problem in dynamical systems and analytic invariant curves for an iterative equation related to a rational difference equation
We study the existence of analytic invariant curves of the iterative equation f ( f ( x )) = ax /( f ( x ) x + b ), which arises from second-order rational...
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Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction
The effects of the second-order velocity slip and temperature jump boundary conditions on the magnetohydrodynamic (MHD) flow and heat transfer in the...
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Painlevé Analysis and Analytic Solutions to the Riccati Types of Equations
This paper is concerned with the generalized Riccati equation R ( m , n ), and its special case, the classical Riccati equation R (2, 1). By the...
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Nabla discrete fractional Grüss type inequality
Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general...
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Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
This paper provides results on the existence and representation of solution to an initial value problem for the general multi-term linear fractional...
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Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere
We study a modified version of the Lane-Emden equation of the second kind modelling a thermal explosion in an infinite cylinder and a sphere. We...